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A new family of Apostol-Genocchi polynomials associated with their certain identities.

Authors :
Khan, Nabiullah
Husain, Saddam
Usman, Talha
Araci, Serkan
Source :
Applied Mathematics in Science & Engineering. Dec2023, Vol. 31 Issue 1, p1-19. 19p.
Publication Year :
2023

Abstract

In this paper, we provide a generating function for mix type Apostol-Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomials, such as the correlation formula, the implicit summation formula, the derivative formula, some correlation with Stirling numbers and their special instances. Moreover, we discover some symmetric identities and their related known results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
27690911
Volume :
31
Issue :
1
Database :
Academic Search Index
Journal :
Applied Mathematics in Science & Engineering
Publication Type :
Academic Journal
Accession number :
174964770
Full Text :
https://doi.org/10.1080/27690911.2022.2155641