A certain generalization of q-hypergeometric functions and their\n related monodromy preserving deformation

2018/04/24 by Kanam Park, Park, Kanam
Mathematics · Physics and Astronomy · #33D70 #34M55 #34M56 #39A13 #58A17 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical functions and polynomials #Meromorphic and Entire Functions #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1804.08921

openalex publication_date 2018/04/24 · openalex created_date 2022/09/28 · openalex updated_date 2026/07/28

Abstract

We define a series \F_M,N as a certain generalization of\nq-hypergeometric function. We study its duality and the system of\nq-difference nonlinear equations which admits particular solutions in terms\nof \F_1,M.\n

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