A NOTE ON CERTAIN TYPE OF GENERATING FUNCTIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 101

Volume : 20 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2024.2001.2
Author :
Taekyun Kim (Department of Mathematics, Kwangwoon University, Seoul-139-701, REPUBLIC OF KOREA)
J. Lopez-Bonilla (ESIME-Zacatenco, Instituto Politecnico Nacional, Edif. 4, 1er. Piso, Col. Lindavista CP 07738, CDMX, MEXICO)
P. Siva Kota Reddy (Department of Mathematics, Sri Jayachamarajendra College of Engineering, JSS Science and Technology University, Mysuru - 570006, INDIA)

Abstract

We show that certain type of generating functions allow to construct Cauchy convolutions for the Apostol-Euler and Apostol-Bernoulli polynomials and their connection with partial Bell Polynomials.

Keywords and Phrases

Apostol-Bernoulli polynomials, Apostol-Euler polynomials, Cauchy convolution, Generating functions, Partial Bell polynomials.

A.M.S. subject classification

05A15, 11B68, 11B73, 11B83.

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