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Journal of Mathematics and Computer Science
Article . 2021 . Peer-reviewed
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On unified Gould-Hopper based Apostol-type polynomials

Authors: Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Açıkgöz, Mehmet; Duran, Uğur; Abusufian, Abdallah Hassan;

On unified Gould-Hopper based Apostol-type polynomials

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. © 2021, International Scientific Research Publications. All rights reserved.

Country
Turkey
Keywords

Formulas, Mathematics - Pure Maths - Stirling Numbers, Euler polynomials, P-Adic Q-Integral, Fourier expansions, Bernoulli, Generating-functions, Gould-Hopper polynomials, Integral-Representations, Unified Apostol-type polynomials, Summation formula, Symmetric identity, Genocchi polynomials, Symmetry identities, Bernoulli Numbers, Euler Polynomials, Degenerate, Generating-Functions, Fourier expansşions, Integral-representations, Mathematics, Monomiality principle

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Top 10%
Average
Average
Green
gold