Solutions to variant of q-hypergeometric equation of degree 2 associated with q-middle convolution

2024/03/05 by Yumi Arai, Arai, Yumi
Computer Science · Engineering · Mathematics · #33D15 #33D60 #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2403.02662

openalex publication_date 2024/03/05 · openalex created_date 2024/03/07 · openalex updated_date 2026/07/28

Abstract

We investigate the integral representations of solutions to the variant of q-hypergeometric equation of degree 2 obtained through q-middle convolution by using transformation formulas for q-hypergeometric series. We show the correspondence between these integral solutions and solutions obtained by other methods. We also show the linear relationships among the integral solutions.

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