Arab Journal of Basic and Applied Sciences (Dec 2024)

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

  • Mohammed Fadel,
  • Abdulghani Muhyi

DOI
https://doi.org/10.1080/25765299.2024.2314282
Journal volume & issue
Vol. 31, no. 1
pp. 165 – 176

Abstract

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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