Properties of Multivariate Hermite Polynomials in Correlation with Frobenius–Euler Polynomials-Reference-Cited by-同舟云学术

Properties of Multivariate Hermite Polynomials in Correlation with Frobenius–Euler Polynomials

Published:2023-08-08 Issue:16 Volume:11 Page:3439
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Zayed Mohra¹^ORCID,Wani Shahid Ahmad²^ORCID,Quintana Yamilet³⁴^ORCID

Affiliation:

1. Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia

2. Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed University) (SIU), Lavale, Pune 412115, Maharashtra, India

3. Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Leganés, 28911 Madrid, Spain

4. Instituto de Ciencias Matemáticas (ICMAT), Campus de Cantoblanco UAM, 28049 Madrid, Spain

Abstract

A comprehensive framework has been developed to apply the monomiality principle from mathematical physics to various mathematical concepts from special functions. This paper presents research on a novel family of multivariate Hermite polynomials associated with Apostol-type Frobenius–Euler polynomials. The study derives the generating expression, operational rule, differential equation, and other defining characteristics for these polynomials. Additionally, the monomiality principle for these polynomials is verified. Moreover, the research establishes series representations, summation formulae, and operational and symmetric identities, as well as recurrence relations satisfied by these polynomials.

Funder

Deanship of Scientific Research at King Khalid University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/16/3439/pdf

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