Work

On the Generalized Class of Multivariable Humbert‐Type Polynomials

Year: 2025

Type: article

Abstract: The present paper deals with the class of multivariable Humbert polynomials having generalization of some well‐known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović‐Djordjević, Horadam, Horadam‐Pethe, Pathan and Khan, a class of generalized Humbert polynomials in two variables etc. In this paper, we are presenting power series representation, integral representation, and hypergeometric representation of this polynomial. We shall obtain the expansion of the above considering multivariable Humbert polynomial in series of well‐known polynomials like Legendre, Hermite, Laguerre and also obtain some generating functions.

Source: International Journal of Mathematics and Mathematical Sciences

DOI: 10.1155/ijmm/5266812

Authors: B. B. Jaimini, Meenu, S. D. Purohit, D. L. Suthar

Institutions: Government College Kota, Rajasthan Technical University, Wollo University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,240

OpenAlex ID: W4410330964

FWCI: 1.876

Cites: 12

Cited by: 1

Related to: 10