On the matrix q-Kummer equation and its solutions

2023/08/02 by Ravi Dwivedi, Dwivedi, Ravi · 1 citation
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2308.02551

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 ∞. We also give a brief idea about the matrix Gauss difference equation of bilateral type and its solutions.

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