On unified gould-hopper based apostol-type polynomials

Waseem Ahmad Khan; Kottakkaran Sooppy Nisar; Mehmet Acikgoz; Ugur Duran; Abdallah Hassan Abusufian

doi:10.22436/JMCS.024.04.01

On unified gould-hopper based apostol-type polynomials

Waseem Ahmad Khan, Kottakkaran Sooppy Nisar, Mehmet Acikgoz, Ugur Duran, Abdallah Hassan Abusufian

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7 Scopus citations

Abstract

In this paper, we consider unified Gould-Hopper based Apostol-type polynomials and investigate some of their formulas including several implicit summation formulae and some symmetric identities by the series manipulation method. Moreover, we acquire several new results for unified Gould-Hopper based Apostol-type polynomials using appropriate operational rules.

Original language	English
Pages (from-to)	287-298
Number of pages	12
Journal	Journal of Mathematics and Computer Science
Volume	24
Issue number	4
DOIs	https://doi.org/10.22436/JMCS.024.04.01
State	Published - 2021

Keywords

Gould-Hopper polynomials
Monomiality principle
Summation formula
Symmetric identity
Unified Apostol-type polynomials

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10.22436/JMCS.024.04.01

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abstract = "In this paper, we consider unified Gould-Hopper based Apostol-type polynomials and investigate some of their formulas including several implicit summation formulae and some symmetric identities by the series manipulation method. Moreover, we acquire several new results for unified Gould-Hopper based Apostol-type polynomials using appropriate operational rules.",

keywords = "Gould-Hopper polynomials, Monomiality principle, Summation formula, Symmetric identity, Unified Apostol-type polynomials",

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AU - Acikgoz, Mehmet

AU - Duran, Ugur

AU - Abusufian, Abdallah Hassan

PY - 2021

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AB - In this paper, we consider unified Gould-Hopper based Apostol-type polynomials and investigate some of their formulas including several implicit summation formulae and some symmetric identities by the series manipulation method. Moreover, we acquire several new results for unified Gould-Hopper based Apostol-type polynomials using appropriate operational rules.

KW - Gould-Hopper polynomials

KW - Monomiality principle

KW - Summation formula

KW - Symmetric identity

KW - Unified Apostol-type polynomials

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On unified gould-hopper based apostol-type polynomials

Abstract

Keywords

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