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arXiv · 2510.18885

On q-Bessel matrix polynomials

Ayman Shehata·M. Tawfik·Ayman M. Mahmoud·Nada Mostafa
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Abstract

The aim of the present study is to establish some properties for q-Bessel matrix polynomials such as several q-differential matrix equation, q-differential matrix relations and q-recurrence matrix relations, and integral representation, q-Laplace and q-Mellin transforms with the help of q-Analysis. Furthermore, we give connections between q-Horn's matrix functions of two variables and q-Bessel matrix polynomials are given.

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Ayman Shehata, M. Tawfik, Ayman M. Mahmoud, Nada Mostafa. 2025-10-13. On q-Bessel matrix polynomials. https://arxiv.org/abs/2510.18885

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