A Connection Formula for the q-Confluent Hypergeometric Function
We show a connection formula for the q-confluent hypergeometric functions ₂φ₁(a,b;0;q,x). Combining our connection formula with Zhang's connection formula for ₂φ₀(a,b;−;q,x), we obtain the connection formula for the q-confluent hypergeometric equation in the matrix form. Also we obtain the conn...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2013 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2013
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149343 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A Connection Formula for the q-Confluent Hypergeometric Function / T. Morita // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 10 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862645437706534912 |
|---|---|
| author | Morita, T. |
| author_facet | Morita, T. |
| citation_txt | A Connection Formula for the q-Confluent Hypergeometric Function / T. Morita // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We show a connection formula for the q-confluent hypergeometric functions ₂φ₁(a,b;0;q,x). Combining our connection formula with Zhang's connection formula for ₂φ₀(a,b;−;q,x), we obtain the connection formula for the q-confluent hypergeometric equation in the matrix form. Also we obtain the connection formula of Kummer's confluent hypergeometric functions by taking the limit q→1− of our connection formula.
|
| first_indexed | 2025-12-01T10:51:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149343 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T10:51:06Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Morita, T. 2019-02-21T07:04:56Z 2019-02-21T07:04:56Z 2013 A Connection Formula for the q-Confluent Hypergeometric Function / T. Morita // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 10 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33D15; 34M40; 39A13 DOI: http://dx.doi.org/10.3842/SIGMA.2013.050 https://nasplib.isofts.kiev.ua/handle/123456789/149343 We show a connection formula for the q-confluent hypergeometric functions ₂φ₁(a,b;0;q,x). Combining our connection formula with Zhang's connection formula for ₂φ₀(a,b;−;q,x), we obtain the connection formula for the q-confluent hypergeometric equation in the matrix form. Also we obtain the connection formula of Kummer's confluent hypergeometric functions by taking the limit q→1− of our connection formula. The author would like to give heartfelt thanks to Professor Yousuke Ohyama who provided
 carefully considered feedback and many valuable comments. The author also would like to
 thank the anonymous referees for their helpful comments en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Connection Formula for the q-Confluent Hypergeometric Function Article published earlier |
| spellingShingle | A Connection Formula for the q-Confluent Hypergeometric Function Morita, T. |
| title | A Connection Formula for the q-Confluent Hypergeometric Function |
| title_full | A Connection Formula for the q-Confluent Hypergeometric Function |
| title_fullStr | A Connection Formula for the q-Confluent Hypergeometric Function |
| title_full_unstemmed | A Connection Formula for the q-Confluent Hypergeometric Function |
| title_short | A Connection Formula for the q-Confluent Hypergeometric Function |
| title_sort | connection formula for the q-confluent hypergeometric function |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149343 |
| work_keys_str_mv | AT moritat aconnectionformulafortheqconfluenthypergeometricfunction AT moritat connectionformulafortheqconfluenthypergeometricfunction |