q-Analogue Modified Laguerre and Generalized Laguerre Polynomials of Two Variables

Authors

Fadhle Bin Fadhle Mohsen, Faculty of education – Zingbar University of Aden
Fadhl Saleh .Alsarahi, Faculty of education – Zingbar University of Aden

Abstract

The 𝑞-Laguerre polynomials are important 𝑞-orthogonal polynomials whose applications and generalizations arise in many applications such as quantumgroup (oscillator algebra, etc.), 𝑞-harmonic oscillator and coding theory. In this paper, we introduce the q-analogue modified Laguerre and generalized modified Laguerre polynomials of two variables . Some recurrence relations for these polynomials are derived.

Recommended Citation

Mohsen, Fadhle Bin Fadhle and .Alsarahi, Fadhl Saleh (2018) "q-Analogue Modified Laguerre and Generalized Laguerre Polynomials of Two Variables," Hadhramout University Journal of Natural & Applied Sciences: Vol. 15: Iss. 2, Article 10.
Available at: https://digitalcommons.aaru.edu.jo/huj_nas/vol15/iss2/10