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Jackson integral representation for Kajihara's $q$-hypergeometric series and an extension of the $q$-Riemann-Papperitz system by Nobukawa, Takahiko is a scholarly article available to read on EtoBox.

What is Jackson integral representation for Kajihara's $q$-hypergeometric series and an extension of the $q$-Riemann-Papperitz system about?

We give an integral representation for Kajihara's $q$-hypergeometric series $W^{M,2}$. We construct a $q$-difference system that corresponds to this integral. This system is an extension of the variant of $q$-hypergeometric equation of degree three, defined by Hatano-Matsunawa-Sato-Takemura. We show that this system includes the $q$-Appell-Lauricella system as a degeneration.

Author

Nobukawa, Takahiko

Published

2024

Language

EN