A NOTE ON CERTAIN TYPE OF GENERATING FUNCTIONS

Taekyun Kim; J. Lopez-Bonilla; P. Siva Kota Reddy

doi:https://doi.org/10.56827/SEAJMMS.2024.2001.2

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

Volume 20, Issue 1 Pages 21-30 April 30, 2024 227 downloads

Article overview

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 polynomialsApostol-Euler polynomialsCauchy convolutionGenerating functionsPartial Bell polynomials.

AMS Subject Classification

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

Reference information

How to Cite

Taekyun Kim, J. Lopez-Bonilla, P. Siva Kota Reddy (2024). A NOTE ON CERTAIN TYPE OF GENERATING FUNCTIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 20(1), 21-30.

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