Work

Some homogeneous q-difference operators and the associated generalized Hahn polynomials

Year: 2019

Type: article

Abstract: In this paper, we first construct the homogeneous q-shift operator E(a, b; D q ) and the homogeneous q-difference operator L(a, b; Θ x,y ).We then apply these operators in order to represent and investigate a family of generalized Cauchy polynomials and a general form of the q-Hahn polynomials.We derive some q-identities such as generating functions, extended generating functions, Mehler's formula and Rogers' formula for these q-polynomials.Relevant connections of the q-identities presented here with a number of known or new results associated with various specialized families of q-polynomials are also considered.

Source: Applied Set-Valued Analysis and Optimization

DOI: 10.23952/asvao.1.2019.2.07

Authors: Srivastava, Hari M., Arjika, Sama, Kelil, Abey Sherif

Institutions: University of Victoria, University of Pretoria

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2968100970

FWCI: 4.15

Cites: 17

Cited by: 24

Related to: 10