On q-Bessel matrix polynomials
Ayman Shehata, M. Tawfik, Ayman M. Mahmoud, Nada Mostafa

TL;DR
This paper explores properties of q-Bessel matrix polynomials, including differential equations, relations, integral transforms, and their connections to q-Horn's matrix functions, advancing the theoretical framework of q-Analysis.
Contribution
It introduces new properties and relations of q-Bessel matrix polynomials and links them to q-Horn's matrix functions, expanding the theoretical understanding in q-Analysis.
Findings
Derived q-differential matrix equations and relations
Established integral representations and transforms
Connected q-Bessel polynomials to q-Horn's matrix functions
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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Taxonomy
TopicsMathematical functions and polynomials · Algebraic structures and combinatorial models · Fractional Differential Equations Solutions
