A new family of Apostol–Genocchi polynomials associated with their certain identities. Issue 1 (31st December 2023)

• Record Type: Journal Article
• Authors: Khan, Nabiullah; Husain, Saddam; Usman, Talha; Araci, Serkan
• Is Part Of: Applied mathematics in science and engineering. Volume 31:Issue 1(2023)
• Publication Date: 2023-12-31
• Subjects: Generating function -- Apostol–Genocchi polynomials -- Identities -- Bell polynomials -- Stirling numbers; 11B37 -- 11B68 -- 11B73 -- 11B83 -- 11B75; Science -- Mathematics -- Periodicals; Engineering mathematics -- Periodicals; Applied mathematics -- Periodicals; 501.51
• DOI: 10.1080/27690911.2022.2155641
• Languages: English
• ISSNs: 2769-0911

Abstract

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.