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...
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| Дата: | 2013 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149343 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149343 |
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dspace |
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irk-123456789-1493432019-02-22T01:24:10Z A Connection Formula for the q-Confluent Hypergeometric Function Morita, T. 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. 2013 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149343 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Morita, T. |
| spellingShingle |
Morita, T. A Connection Formula for the q-Confluent Hypergeometric Function Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Morita, T. |
| author_sort |
Morita, T. |
| title |
A Connection Formula for the q-Confluent Hypergeometric Function |
| title_short |
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_sort |
connection formula for the q-confluent hypergeometric function |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149343 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT moritat aconnectionformulafortheqconfluenthypergeometricfunction AT moritat connectionformulafortheqconfluenthypergeometricfunction |
| first_indexed |
2023-05-20T17:32:46Z |
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2023-05-20T17:32:46Z |
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1796153535010701312 |