Connection Problem for an Extension of -Hypergeometric Systems
We give an example of solutions of the connection problem associated with a certain system of linear -difference equations recently introduced by Park. The result contains a connection formula of the -Lauricella hypergeometric function D and those of the -generalized hypergeometric function N₊₁N as...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2022 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2022
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211824 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Connection Problem for an Extension of -Hypergeometric Systems. Takahiko Nobukawa. SIGMA 18 (2022), 080, 21 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862717475373711360 |
|---|---|
| author | Nobukawa, Takahiko |
| author_facet | Nobukawa, Takahiko |
| citation_txt | Connection Problem for an Extension of -Hypergeometric Systems. Takahiko Nobukawa. SIGMA 18 (2022), 080, 21 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We give an example of solutions of the connection problem associated with a certain system of linear -difference equations recently introduced by Park. The result contains a connection formula of the -Lauricella hypergeometric function D and those of the -generalized hypergeometric function N₊₁N as special cases.
|
| first_indexed | 2026-03-20T16:46:26Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211824 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-20T16:46:26Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Nobukawa, Takahiko 2026-01-12T10:20:59Z 2022 Connection Problem for an Extension of -Hypergeometric Systems. Takahiko Nobukawa. SIGMA 18 (2022), 080, 21 pages 1815-0659 2020 Mathematics Subject Classification: 33D70; 39A13 arXiv:2102.09175 https://nasplib.isofts.kiev.ua/handle/123456789/211824 https://doi.org/10.3842/SIGMA.2022.080 We give an example of solutions of the connection problem associated with a certain system of linear -difference equations recently introduced by Park. The result contains a connection formula of the -Lauricella hypergeometric function D and those of the -generalized hypergeometric function N₊₁N as special cases. The 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Connection Problem for an Extension of -Hypergeometric Systems Article published earlier |
| spellingShingle | Connection Problem for an Extension of -Hypergeometric Systems Nobukawa, Takahiko |
| title | Connection Problem for an Extension of -Hypergeometric Systems |
| title_full | Connection Problem for an Extension of -Hypergeometric Systems |
| title_fullStr | Connection Problem for an Extension of -Hypergeometric Systems |
| title_full_unstemmed | Connection Problem for an Extension of -Hypergeometric Systems |
| title_short | Connection Problem for an Extension of -Hypergeometric Systems |
| title_sort | connection problem for an extension of -hypergeometric systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211824 |
| work_keys_str_mv | AT nobukawatakahiko connectionproblemforanextensionofhypergeometricsystems |