On bivariate Apostol-Fubini polynomials of higher order

Volume 23, Issue 1, pp 10--25 http://dx.doi.org/10.22436/jmcs.023.01.02
Publication Date: October 02, 2020 Submission Date: July 29, 2020 Revision Date: August 12, 2020 Accteptance Date: August 17, 2020

Authors

Nestor G. Acala - Mathematics Department, Main Campus, Mindanao State University, Marawi City, Lanao Del Sur 9700, Philippines.


Abstract

Recently, some generalizations of the Apostol-Bernoulli polynomials, Apostol-Euler polynomials, and Apostol-Genocchi polynomials were introduced (see for instance [V. Kurt, Appl. Math. Sci., \(\bf 3\) (2009), 2757--2764], [Q.-M. Luo, Taiwanese J. Math., \(\bf 10\) (2006), 917--925], [Q.-M. Luo, H. M. Srivastava, J. Math. Anal. Appl., \(\bf 308\) (2005), 290--302], [D. Q. Lu, H. M. Srivastava, Comput. Math. Appl., \(\bf 62\) (2011), 3591--3602] and [W. Wang, C. Jia, T. Wang, Comput. Math. Appl., \(\bf 55\) (2008), 1322--1332]). In this paper, we introduce and investigate an analogous generalization of Fubini polynomials of higher order, which we call bivariate Apostol-Fubini polynomials of higher order. We then obtain an explicit formula of these generalized Fubini polynomials and establish several symmetry identities. Moreover, we also establish relations of these polynomials with other Apostol-type numbers and polynomials.


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ISRP Style

Nestor G. Acala, On bivariate Apostol-Fubini polynomials of higher order, Journal of Mathematics and Computer Science, 23 (2021), no. 1, 10--25

AMA Style

Acala Nestor G., On bivariate Apostol-Fubini polynomials of higher order. J Math Comput SCI-JM. (2021); 23(1):10--25

Chicago/Turabian Style

Acala, Nestor G.. "On bivariate Apostol-Fubini polynomials of higher order." Journal of Mathematics and Computer Science, 23, no. 1 (2021): 10--25


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