arXiv Analytics

Sign in

arXiv:1910.12560 [math.CA]AbstractReferencesReviewsResources

Variants of $q$-hypergeometric equation

Naoya Hatano, Ryuya Matsunawa, Tomoki Sato, Kouichi Takemura

Published 2019-10-28Version 1

We introduce two variants of $q$-hypergeometric equation. We obtain several explicit solutions of variants of $q$-hypergeometric equation. We show that a variant of $q$-hypergeometric equation can be obtained by a restriction of $q$-Appell equation of two variables.

Comments: 27 pages
Categories: math.CA, math-ph, math.MP
Subjects: 33D15, 39A13
Related articles: Most relevant | Search more
arXiv:2207.12777 [math.CA] (Published 2022-07-26)
Hypergeometric solutions for variants of the $q$-hypergeometric equation
arXiv:math/0203264 [math.CA] (Published 2002-03-26, updated 2004-08-23)
On reducing the Heun equation to the hypergeometric equation
arXiv:1911.02840 [math.CA] (Published 2019-11-07)
Differential Equations and Monodromy

Links

Toolbox