On a family of q-modified-Laguerre-Appell polynomials

Abstract

This paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored. Also, certain interesting properties related to this class and some of its members are investigated. Furthermore, the class of 2D q-modified Laguerre-Appell polynomials is introduced. Finally, we present certain graphical representations related to some members of these new classes.

Keywords:

• q-Appell polynomials
• determinant definition
• q-modified-Laguerre polynomials

2020 Mathematics Subject Classification:

• 33E20
• 11B68
• 11B83

Disclosure statement

No potential conflict of interest was reported by the authors.