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arXiv · 2308.02551

On the matrix $q$-Kummer equation and its solutions

Ravi Dwivedi
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Abstract

In the present paper, a general theory for the second-order matrix difference equation of bilateral type is discussed. We introduced the matrix $q$-Kummer equation of bilateral type and presented the $q$-Kummer matrix function as a series solution. Later, we obtain the integral solutions of this Kummer equation and solution at $\infty$. We also give a brief idea about the matrix Gauss difference equation of bilateral type and its solutions.

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Ravi Dwivedi. 2023-08-02. On the matrix $q$-Kummer equation and its solutions. https://arxiv.org/abs/2308.02551

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