Iranian Journal of

1. K. N. Boyadzhiev, A note on the higher derivatives of the function $1/(exp(x)-1)$, emph{Adv. Appl. Discrete Math.}, textbf{17}(4), (2016), 461nobreakdash--466. [DOI:10.17654/DM017040461]

2. K. N. Boyadzhiev, {Close encounters with the Stirling numbers of the second kind}, emph{Math. Mag.}, textbf{85}(4), (2012), 252nobreakdash--266; available online at url{ https://doi.org/10.4169/math.mag.85.4.252 [DOI:10.4169/math.mag.85.4.252}.]

3. K. N. Boyadzhiev, {Derivative polynomials for tanh, tan, sech and sec in explicit form}, emph{Fibonacci Quart.}, textbf{45}(4), (2007), 291nobreakdash--303.

4. K. N. Boyadzhiev, {Derivative Polynomials for tanh, tan, sech and sec in explicit form}, emph{arXiv}, (2010), available online at url{https://arxiv.org/abs/0903.0117}.

5. L. Comtet, emph{Advanced Combinatorics: The Art of Finite and Infinite Expansions}, Revised and Enlarged Edition, D. Reidel Publishing Co., Dordrecht and Boston, 1974; available online at url{ https://doi.org/10.1007/978-94-010-2196-8 [DOI:10.1007/978-94-010-2196-8}.]

6. D. Cvijovic, {Derivative polynomials and closed-form higher derivative formulae}, emph{Appl. Math. Comput.}, textbf{215}(8), (2009), 3002nobreakdash--3006; available online at url{ https://doi.org/10.1016/j.amc.2009.09.047 [DOI:10.1016/j.amc.2009.09.047}.]

7. D. V. Dolgy, D. S. Kim, T. Kim, J.-J. Seo, {Differential equations for Changhee polynomials and their applications}, emph{arXiv}, (2016), available online at url{http://arxiv.org/abs/1602.08659}.

8. B.-N. Guo, D. Lim, F. Qi, {Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions}, emph{AIMS Math.}, textbf{6}, (2021), in press.

9. B.-N. Guo, F. Qi, {Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind}, emph{J. Comput. Appl. Math.}, textbf{272}, (2014), 251nobreakdash--257; available online at url{ https://doi.org/10.1016/j.cam.2014.05.018 [DOI:10.1016/j.cam.2014.05.018}.]

10. B.-N. Guo, F. Qi, {Some identities and an explicit formula for Bernoulli and Stirling numbers}, emph{J. Comput. Appl. Math.}, textbf{255}, (2014), 568nobreakdash--579; available online at url{ https://doi.org/10.1016/j.cam.2013.06.020 [DOI:10.1016/j.cam.2013.06.020}.]

11. D. Kang, J. Jeong, S.-J. Lee, S.-H. Rim, {A note on the Bernoulli polynomials arising from a non-linear differential equation}, emph{Proc. Jangjeon Math. Soc.}, textbf{16}(1), (2013), 37nobreakdash--43.

12. D. S. Kim, T. Kim, {Some identities for Bernoulli numbers of the second kind arising from a non-linear differential equation}, emph{Bull. Korean Math. Soc.}, textbf{52}(6), (2015), 2001nobreakdash--2010; available online at url{ https://doi.org/10.4134/BKMS.2015.52.6.2001 [DOI:10.4134/BKMS.2015.52.6.2001}.]

13. T. Kim, {Corrigendum to ''Identities involving Frobenius-Euler polynomials arising from non-linear differential equations'' [J. Number Theory textbf{132} (12) (2012) 2854nobreakdash--2865]}, emph{J. Number Theory}, textbf{133}(2), (2013), 822nobreakdash--824; available online at url{ https://doi.org/10.1016/j.jnt.2012.08.002 [DOI:10.1016/j.jnt.2012.08.002}.]

14. T. Kim, {Identities involving Frobenius-Euler polynomials arising from non-linear differential equations}, emph{J. Number Theory}, textbf{132}(12), (2012), 2854nobreakdash--2865; available online at url{ https://doi.org/10.1016/j.jnt.2012.05.033 [DOI:10.1016/j.jnt.2012.05.033}.]

15. T. Kim, D. V. Dolgy, D. S. Kim, J. J. Seo, {Differential equations for Changhee polynomials and their applications}, emph{J. Nonlinear Sci. Appl.}, textbf{9}(5), (2016), 2857nobreakdash--2864; available online at url{ https://doi.org/10.22436/jnsa.009.05.80 [DOI:10.22436/jnsa.009.05.80}.]

16. T. Kim, D. S. Kim, {A note on nonlinear Changhee differential equations}, emph{Russ. J. Math. Phys.}, textbf{23}(1), (2016), 88nobreakdash--92; available online at url{ https://doi.org/10.1134/S1061920816010064 [DOI:10.1134/S1061920816010064}.]

17. T. Kim, D. S. Kim, {Identities involving degenerate Euler numbers and polynomials arising from non-linear differential equations}, emph{J. Nonlinear Sci. Appl.}, textbf{9}(5), (2016), 2086nobreakdash--2098; available online at url{ https://doi.org/10.22436/jnsa.009.05.14 [DOI:10.22436/jnsa.009.05.14}.]

18. S. Koumandos, {On Ruijsenaars' asymptotic expansion of the logarithm of the double gamma function}, emph{J. Math. Anal. Appl.}, textbf{341}, (2008), 1125nobreakdash--1132; available online at url{ https://doi.org/10.1016/j.jmaa.2007.11.021 [DOI:10.1016/j.jmaa.2007.11.021}.]

19. V. V. Kruchinin, {Derivation of Bell polynomials of the second kind}, emph{arXiv}, (2011), available online at url{http://arxiv.org/abs/1104.5065}.

20. D. V. Kruchinin, V. V. Kruchinin, {Application of a composition of generating functions for obtaining explicit formulas of polynomials}, emph{J. Math. Anal. Appl.}, textbf{404}(1), (2013), 161nobreakdash--171; available online at url{ https://doi.org/10.1016/j.jmaa.2013.03.009 [DOI:10.1016/j.jmaa.2013.03.009}.]

21. V. V. Kruchinin, D. V. Kruchinin, {Composita and its properties}, emph{J. Anal. Number Theory}, textbf{2}(2), (2014), 37nobreakdash--44.

22. H.-M. Liu, S.-H. Qi, S.-Y. Ding, {Some recurrence relations for Cauchy numbers of the first kind}, emph{J. Integer Seq.}, textbf{13}, (2010), Article~10.3.8, 7~pages.

23. F. Qi, {A simple form for coefficients in a family of nonlinear ordinary differential equations}, emph{Adv. Appl. Math. Sci.}, textbf{17}(8), (2018), 555nobreakdash--561.

24. F. Qi, {A simple form for coefficients in a family of ordinary differential equations related to the generating function of the Legendre polynomials}, emph{Adv. Appl. Math. Sci.}, textbf{17}(11), (2018), 693nobreakdash--700.

25. F. Qi, {Derivatives of tangent function and tangent numbers}, emph{Appl. Math. Comput.}, textbf{268}, (2015), 844nobreakdash--858; available online at url{ https://doi.org/10.1016/j.amc.2015.06.123 [DOI:10.1016/j.amc.2015.06.123}.]

26. F. Qi, {Diagonal recurrence relations for the Stirling numbers of the first kind}, emph{Contrib. Discrete Math.}, textbf{11}(1), (2016), 22nobreakdash--30; available online at url{ [DOI:10.11575/cdm.v11i1.62389}.]

27. F. Qi, {Eight interesting identities involving the exponential function, derivatives, and Stirling numbers of the second kind}, emph{arXiv}, (2012), available online at url{http://arxiv.org/abs/1202.2006}.

28. F. Qi, {Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind}, emph{Filomat}, textbf{28}(2), (2014), 319nobreakdash--327; available online at url{ https://doi.org/10.2298/FIL1402319O [DOI:10.2298/FIL1402319O}.]

29. F. Qi, {Three closed forms for convolved Fibonacci numbers}, emph{Results Nonlinear Anal.}, textbf{3}(4), (2020), 185nobreakdash--195. [DOI:10.31219/osf.io/9gqrb]

30. F. Qi, {Integral representations for multivariate logarithmic polynomials}, emph{J. Comput. Appl. Math.}, textbf{336}, (2018), 54nobreakdash--62; available online at url{ https://doi.org/10.1016/j.cam.2017.11.047 [DOI:10.1016/j.cam.2017.11.047}.]

31. F. Qi, {Notes on several families of differential equations related to the generating function for the Bernoulli numbers of the second kind}, emph{Turkish J. Anal. Number Theory}, textbf{6}(2), (2018), 40nobreakdash--42; available online at url{ https://doi.org/10.12691/tjant-6-2-1 [DOI:10.12691/tjant-6-2-1}.]

32. F. Qi, {On multivariate logarithmic polynomials and their properties}, emph{Indag. Math.}, textbf{29}(5), (2018), 1179nobreakdash--1192; available online at url{ https://doi.org/10.1016/j.indag.2018.04.002 [DOI:10.1016/j.indag.2018.04.002}.]

33. F. Qi, {Simple forms for coefficients in two families of ordinary differential equations}, emph{Glob. J. Math. Anal.}, textbf{6}(1), (2018), 7nobreakdash--9; available online at url{ https://doi.org/10.14419/gjma.v6i1.9778 [DOI:10.14419/gjma.v6i1.9778}.]

34. F. Qi, {Simplification of coefficients in two families of nonlinear ordinary differential equations}, emph{Turkish J. Anal. Number Theory}, textbf{6}(4), (2018), 116nobreakdash--119; available online at url{ https://doi.org/10.12691/tjant-6-4-2 [DOI:10.12691/tjant-6-4-2}.]

35. F. Qi, {Simplifying coefficients in a family of nonlinear ordinary differential equations}, emph{Acta Comment. Univ. Tartu. Math.}, textbf{22}(2), (2018), 293nobreakdash--297; available online at url{ https://doi.org/10.12697/ACUTM.2018.22.24 [DOI:10.12697/ACUTM.2018.22.24}.]

36. F. Qi, {Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Laguerre polynomials}, emph{Appl. Appl. Math.}, textbf{13}(2), (2018), 750nobreakdash--755.

37. F. Qi, {Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Mittag--Leffler polynomials}, emph{Korean J. Math.}, textbf{27}(2), (2019), 417nobreakdash--423; available online at url{ [DOI:10.11568/kjm.2019.27.2.417}.]

38. F. Qi, {Simplifying coefficients in differential equations related to generating functions of reverse Bessel and partially degenerate Bell polynomials}, emph{Bol. Soc. Paran. Mat.}, textbf{39}(4), (2021), 73nobreakdash--82; available online at url{ https://doi.org/10.5269/bspm.41758 [DOI:10.5269/bspm.41758}.]

39. F. Qi, {Inverse of a triangular matrix and several identities of Catalan numbers}, emph{J. Hunan Instit. Sci. Techn. (Natur. Sci.)}, textbf{33}(2), (2020), 1nobreakdash--11 and~22; available online at url{ [DOI:10.16740/j.cnki.cn43-1421/n.2020.02.001}. (Chinese).]

40. F. Qi, V. v{C}erv{n}anov'a, Y. S. Semenov, {Some tridiagonal determinants related to central Delannoy numbers, the Chebyshev polynomials, and the Fibonacci polynomials}, emph{Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys.}, textbf{81}(1), (2019), 123nobreakdash--136.

41. F. Qi, V. v{C}erv{n}anov'a, X.-T. Shi, B.-N. Guo, {Some properties of central Delannoy numbers}, emph{J. Comput. Appl. Math.}, textbf{328}, (2018), 101nobreakdash--115; available online at url{ https://doi.org/10.1016/j.cam.2017.07.013 [DOI:10.1016/j.cam.2017.07.013}.]

42. F. Qi, B.-N. Guo, {A diagonal recurrence relation for the Stirling numbers of the first kind}, emph{Appl. Anal. Discrete Math.}, textbf{12}(1), (2018), 153nobreakdash--165; available online at url{ https://doi.org/10.2298/AADM170405004Q [DOI:10.2298/AADM170405004Q}.]

43. F. Qi, B.-N. Guo, {An explicit formula for derivative polynomials of the tangent function}, emph{Acta Univ. Sapientiae Math.}, textbf{9}(2), (2017), 348nobreakdash--359; available online at url{ https://doi.org/10.1515/ausm-2017-0026 [DOI:10.1515/ausm-2017-0026}.]

44. F. Qi, B.-N. Guo, {Explicit formulas for derangement numbers and their generating function}, emph{J. Nonlinear Funct. Anal.}, textbf{2016}, Article ID~45, 10~pages.

45. F. Qi, B.-N. Guo, {Explicit formulas and recurrence relations for higher order Eulerian polynomials}, emph{Indag. Math.}, textbf{28}(4), (2017), 884nobreakdash--891; available online at url{ https://doi.org/10.1016/j.indag.2017.06.010 [DOI:10.1016/j.indag.2017.06.010}.]

46. F. Qi, B.-N. Guo, {Explicit formulas for special values of the Bell polynomials of the second kind and for the Euler numbers and polynomials}, emph{Mediterr. J. Math.}, textbf{14}(3), (2017), Article~140, 14~pages; available online at url{ https://doi.org/10.1007/s00009-017-0939-1 [DOI:10.1007/s00009-017-0939-1}.]

47. F. Qi, B.-N. Guo, {Several explicit and recursive formulas for generalized Motzkin numbers}, emph{AIMS Math.}, textbf{5}(2), (2020), 1333nobreakdash--1345; available online at url{ https://doi.org/10.3934/math.2020091 [DOI:10.3934/math.2020091}.]

48. F. Qi, B.-N. Guo, {Some properties of the Hermite polynomials}, emph{Georgian Math. J.}, textbf{29}, (2022), in press; available online at url{ https://doi.org/10.1515/gmj-2020-2088 [DOI:10.1515/gmj-2020-2088}.]

49. F. Qi, B.-N. Guo, {Viewing some nonlinear ODEs and their solutions from the angle of derivative polynomials}, emph{ResearchGate Preprint}, (2016), available online at url{ https://doi.org/10.20944/preprints201610.0043.v1 [DOI:10.13140/RG.2.1.4593.1285}.]

50. F. Qi, B.-N. Guo, {Viewing some ordinary differential equations from the angle of derivative polynomials}, emph{MDPI Preprints}, textbf{2016}, 2016100043, 12~pages; available online at url{ https://doi.org/10.20944/preprints201610.0043.v1 [DOI:10.20944/preprints201610.0043.v1}.]

51. F. Qi, D. Lim, B.-N. Guo, {Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations}, emph{Rev. R. Acad. Cienc. Exactas F'is. Nat. Ser. A Mat. RACSAM}, textbf{113}(1), (2019), 1nobreakdash--9; available online at url{ https://doi.org/10.1007/s13398-017-0427-2 [DOI:10.1007/s13398-017-0427-2}.]

52. F. Qi, D. Lim, B.-N. Guo, {Some identities related to Eulerian polynomials and involving the Stirling numbers}, emph{Appl. Anal. Discrete Math.}, textbf{12}(2), (2018), 467nobreakdash--480; available online at url{ https://doi.org/10.2298/AADM171008014Q [DOI:10.2298/AADM171008014Q}.]

53. F. Qi, D. Lim, A.-Q. Liu, {Explicit expressions related to degenerate Cauchy numbers and their generating function}, In: Jagdev Singh, Devendra Kumar, Hemen Dutta, Dumitru Baleanu, and Sunil Dutt Purohit (eds), International workshop of Mathematical Modelling, Applied Analysis and Computation ICMMAAC 2018: emph{Mathematical Modelling, Applied Analysis and Computation} (Jaipur, India, July 6--8, 2018), Springer Proceedings in Mathematics & Statistics, vol.~272, Chapter~2, pp.~41nobreakdash--52, Springer, Singapore, September 2019; available online at url{ https://doi.org/10.1007/978-981-13-9608-3_2 [DOI:10.1007/978-981-13-9608-3_2}.]

54. F. Qi, D. Lim, Y.-H. Yao, {Notes on two kinds of special values for the Bell polynomials of the second kind}, emph{Miskolc Math. Notes}, textbf{20}(1), (2019), 465nobreakdash--474; available online at url{ https://doi.org/10.18514/MMN.2019.2635 [DOI:10.18514/MMN.2019.2635}.]

55. F. Qi, D.-W. Niu, B.-N. Guo, {Simplification of coefficients in differential equations associated with higher order Frobenius--Euler numbers}, emph{Tatra Mt. Math. Publ.}, textbf{72}, (2018), 67nobreakdash--76; available online at url{ https://doi.org/10.2478/tmmp-2018-0022 [DOI:10.2478/tmmp-2018-0022}.]

56. F. Qi, D.-W. Niu, B.-N. Guo, {Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind}, emph{AIMS Math.}, textbf{4}(2), (2019), 170nobreakdash--175; available online at url{ https://doi.org/10.3934/math.2019.2.170 [DOI:10.3934/Math.2019.2.170}.]

57. F. Qi, D.-W. Niu, B.-N. Guo, {Some identities for a sequence of unnamed polynomials connected with the Bell polynomials}, emph{Rev. R. Acad. Cienc. Exactas F'is. Nat. Ser. A Math. RACSAM}, textbf{113}(2), (2019), 557nobreakdash--567; available online at url{ https://doi.org/10.1007/s13398-018-0494-z [DOI:10.1007/s13398-018-0494-z}.]

58. F. Qi, D.-W. Niu, D. Lim, B.-N. Guo, {Closed formulas and identities for the Bell polynomials and falling factorials}, emph{Contrib. Discrete Math.}, textbf{15}(1), (2020), 163nobreakdash--174; available online at url{ [DOI:10.11575/cdm.v15i1.68111}.]

59. F. Qi, D.-W. Niu, D. Lim, B.-N. Guo, {Some properties and an application of multivariate exponential polynomials}, emph{Math. Methods Appl. Sci.}, textbf{43}(6), (2020), 2967nobreakdash--2983; available online at url{ https://doi.org/10.1002/mma.6095 [DOI:10.1002/mma.6095}.]

60. F. Qi, D.-W. Niu, D. Lim, Y.-H. Yao, {Special values of the Bell polynomials of the second kind for some sequences and functions}, emph{J. Math. Anal. Appl.}, textbf{491}(2), (2020), Article 124382, 31~pages; available online at url{ https://doi.org/10.1016/j.jmaa.2020.124382 [DOI:10.1016/j.jmaa.2020.124382}.]

61. F. Qi and Y.-H. Yao, {Simplifying coefficients in differential equations for generating function of Catalan numbers}, emph{J. Taibah Univ. Sci.}, textbf{13}(1), (2019), 947nobreakdash--950; available online at url{ https://doi.org/10.1080/16583655.2019.1663782 [DOI:10.1080/16583655.2019.1663782}.]

62. F. Qi, X.-T. Shi, F.-F. Liu, D. V. Kruchinin, {Several formulas for special values of the Bell polynomials of the second kind and applications}, emph{J. Appl. Anal. Comput.}, textbf{7}(3), (2017), 857nobreakdash--871; available online at url{ https://doi.org/10.11948/2017054 [DOI:10.11948/2017054}.]

63. F. Qi, A. Wan, {A closed-form expression of a remarkable sequence of polynomials originating from a family of entire functions connecting the Bessel and Lambert functions}, emph{S~ao Paulo J. Math. Sci.}, textbf{15}, (2021), in press.

64. F. Qi, J.-L. Wang, B.-N. Guo, {Notes on a family of inhomogeneous linear ordinary differential equations}, emph{Adv. Appl. Math. Sci.}, textbf{17}(4), (2018), 361nobreakdash--368.

65. F. Qi, J.-L. Wang, B.-N. Guo, {Simplifying and finding ordinary differential equations in terms of the Stirling numbers}, emph{Korean J. Math.}, textbf{26}(4), (2018), 675nobreakdash--681; available online at url{ [DOI:10.11568/kjm.2018.26.4.675}.]

66. F. Qi, J.-L. Wang, B.-N. Guo, {Simplifying differential equations concerning degenerate Bernoulli and Euler numbers}, emph{Trans. A. Razmadze Math. Inst.}, textbf{172}(1), (2018), 90nobreakdash--94; available online at url{ https://doi.org/10.1016/j.trmi.2017.08.001 [DOI:10.1016/j.trmi.2017.08.001}.]

67. F. Qi, J.-L. Zhao, {Some properties of the Bernoulli numbers of the second kind and their generating function}, emph{Bull. Korean Math. Soc.}, textbf{55}(6), (2018), 1909nobreakdash--1920; available online at url{ [DOI:10.4134/bkms.b180039}.]

68. F. Qi, M.-M. Zheng, {Explicit expressions for a family of the Bell polynomials and applications}, emph{Appl. Math. Comput.}, textbf{258}, (2015), 597nobreakdash--607; available online at url{ https://doi.org/10.1016/j.amc.2015.02.027 [DOI:10.1016/j.amc.2015.02.027}.]

69. F. Qi, Q. Zou, B.-N. Guo, {The inverse of a triangular matrix and several identities of the Catalan numbers}, emph{Appl. Anal. Discrete Math.}, textbf{13}(2), (2019), 518nobreakdash--541; available online at url{ https://doi.org/10.2298/AADM190118018Q [DOI:10.2298/AADM190118018Q}.]

70. S.-H. Rim, J. Jeong, J.-W. Park, {Some identities involving Euler polynomials arising from a non-linear differential equation}, emph{Kyungpook Math. J.}, textbf{53}(4), (2013), 553nobreakdash--563; available online at url{ https://doi.org/10.5666/KMJ.2013.53.4.553 [DOI:10.5666/KMJ.2013.53.4.553}.]

71. Y. Wang, M. C. Dau{g}l{i}, X.-M. Liu, F. Qi, {Explicit, determinantal, and recurrent formulas of generalized Eulerian polynomials}, emph{Axioms}, textbf{10}(1), (2021), Article~37, 9~pages; available online url{ https://doi.org/10.3390/axioms10010037 [DOI:10.3390/axioms10010037}.]

72. C.-F. Wei, B.-N. Guo, {Complete monotonicity of functions connected with the exponential function and derivatives}, emph{Abstr. Appl. Anal.}, textbf{2014}, (2014), Article ID~851213, 5~pages; available online at url{ https://doi.org/10.1155/2014/851213 [DOI:10.1155/2014/851213}.]

73. C. S. Withers, S. Nadarajah, {Moments and cumulants for the complex Wishart}, emph{J. Multivariate Anal.}, textbf{112}, (2012), 242nobreakdash--247. [DOI:10.1016/j.jmva.2012.05.002]

74. C. S. Withers, S. Nadarajah, {Multivariate Bell polynomials}, emph{Int. J. Comput. Math.}, textbf{87}(11), (2010), 2607nobreakdash--2611; available online at url{ https://doi.org/10.1080/00207160802702418 [DOI:10.1080/00207160802702418}.]

75. C. S. Withers, S. Nadarajah, {Multivariate Bell polynomials, series, chain rules, moments and inversion}, emph{Util. Math.}, textbf{83}, (2010), 133nobreakdash--140.

76. C. S. Withers, S. Nadarajah, {Multivariate Bell polynomials and their applications to powers and fractionary iterates of vector power series and to partial derivatives of composite vector functions}, emph{Appl. Math. Comput.}, textbf{206}(2), (2008), 997nobreakdash--1004; available online at url{ https://doi.org/10.1016/j.amc.2008.09.044 [DOI:10.1016/j.amc.2008.09.044}.]

77. A.-M. Xu, G.-D. Cen, {Closed formulas for computing higher-order derivatives of functions involving exponential functions}, emph{Appl. Math. Comput.}, textbf{270}, (2015), 136nobreakdash--141; available online at url{ https://doi.org/10.1016/j.amc.2015.08.051 [DOI:10.1016/j.amc.2015.08.051}.]

78. A.-M. Xu, Z.-D. Cen, {Some identities involving exponential functions and Stirling numbers and applications}, emph{J. Comput. Appl. Math.}, textbf{260}, (2014), 201nobreakdash--207; available online at url{ https://doi.org/10.1016/j.cam.2013.09.077 [DOI:10.1016/j.cam.2013.09.077}.]

79. J.-L. Zhao, J.-L. Wang, F. Qi, {Derivative polynomials of a function related to the Apostol--Euler and Frobenius--Euler numbers}, emph{J. Nonlinear Sci. Appl.}, textbf{10}(4), (2017), 1345nobreakdash--1349; available online at url{ https://doi.org/10.22436/jnsa.010.04.06 [DOI:10.22436/jnsa.010.04.06}.]