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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 22, Issue 1 Article
Research Article

HERMITE BASED UNIFIED APOSTOL-BERNOULLI-EULER POLYNOMIALS

N
Nabiullah Khan Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh - 202002, (U.P.), INDIA
M
Mohd Zeeshan Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh - 202002, (U.P.), INDIA
O
Owais Khan Department of Mathematics and Statistics, Integral University, Lucknow - 226026, (U.P.), INDIA
N
Nafis Ahmad Department of Mathematics, Shibli National Collage, Azamgarh - 276001, (U.P.), INDIA
Volume 22, Issue 1 Pages 109-124 April 30, 2026 4 downloads
Article overview

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 polynomialsEuler polynomialsHermite-Bernoulli polynomial of Apostol typeHermite Euler polynomial of Apostol typeHermite Bernoulli polynomialHermite Euler polynomial.

AMS Subject Classification

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

Reference information

How to Cite

Nabiullah Khan, Mohd Zeeshan, Owais Khan, Nafis Ahmad (2026). HERMITE BASED UNIFIED APOSTOL-BERNOULLI-EULER POLYNOMIALS. South East Asian Journal of Mathematics and Mathematical Sciences, 22(1), 109-124.
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