Connection Problem for an Extension of 𝑞-Hypergeometric Systems

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dc.contributor.authorNobukawa, Takahiko
dc.date.accessioned2026-01-12T10:20:59Z
dc.date.issued2022
dc.description.abstractWe give an example of solutions of the connection problem associated with a certain system of linear 𝑞-difference equations recently introduced by Park. The result contains a connection formula of the 𝑞-Lauricella hypergeometric function 𝜑D and those of the 𝑞-generalized hypergeometric function N₊₁𝜑N as special cases.
dc.description.sponsorshipThe author would like to thank Professor Yasuhiko Yamada for his useful discussions, valuable suggestions, and encouragement. He also thanks Professor Saiei-Jaeyeong Matsubara-Heo for useful comments. He is also grateful to Professor Wayne Rossman for careful reading and corrections in the manuscript. In addition, he thanks the referees for reading the original manuscript and giving valuable suggestions.
dc.identifier.citationConnection Problem for an Extension of 𝑞-Hypergeometric Systems. Takahiko Nobukawa. SIGMA 18 (2022), 080, 21 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2022.080
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 33D70; 39A13
dc.identifier.otherarXiv:2102.09175
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211824
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleConnection Problem for an Extension of 𝑞-Hypergeometric Systems
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2022, том 18, випуск за цей рік