HERMITE BASED UNIFIED APOSTOL-BERNOULLI-EULER POLYNOMIALS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads :

Volume : 22 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2026.2201.8
Author :
Nabiullah Khan (Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh - 202002, (U.P.), INDIA)
Mohd Zeeshan (Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh - 202002, (U.P.), INDIA)
Owais Khan (Department of Mathematics and Statistics, Integral University, Lucknow - 226026, (U.P.), INDIA)
Nafis Ahmad (Department of Mathematics, Shibli National Collage, Azamgarh - 276001, (U.P.), INDIA)

Abstract

In this paper, we present a novel category of generalized Hermite based unified Apostol-Bernoulli-Euler polynomials and drive several implicit summation formulas through generating functions. These results extend some known summations and identities of unified Bernoulli-Euler polynomials of Apostol type, generalized Hermite-Bernoulli polynomials, and generalized Hermite-Euler polynomial.

Keywords and Phrases

Bernoulli polynomials, Euler polynomials, Hermite-Bernoulli polynomial of Apostol type, Hermite Euler polynomial of Apostol type, Hermite Bernoulli polynomial, Hermite Euler polynomial.

A.M.S. subject classification

11B68, 33C10, 33C45, 33E20.

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