Article ID: MTJPAM-D-21-00061

Title: Truncated exponential based Frobenius-Genocchi and truncated exponential based Apostol type Frobenius-Genocchi polynomials


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-21-00061; Volume 4 / Issue 1 / Year 2022, Pages 85-96

Document Type: Research Paper

Author(s): Shahid Ahmad Wani a , Junesang Choi b

aDepartment of Mathematics, North Campus, University of Kashmir, Srinagar, India

bDepartment of Mathematics, Dongguk University, Gyeongju 38066, Republic of Korea

Received: 6 October 2021, Accepted: 21 October 2021, Published: 18 November 2021.

Corresponding Author: Junesang Choi (Email address: junesangchoi@gmail.com)

Full Text: PDF

Abstract

The aim of this article is to introduce Frobenius-Genocchi polynomials based on truncated-exponentials and to investigate several of their features, including their summation formulae and monomiality principle formalism. Also, we propose and investigate Apostol type Frobenius-Genocchi polynomials based on truncated exponentials, demonstrating their quasi-monomial aspects and providing various identities for these polynomials via umbral calculus.

Keywords: Truncated exponential polynomials, Frobenius-Genocchi polynomials, Apostol type polynomials, summation formulae, monomiality principle, umbral calculus

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