A Connection Formula for the q-Confluent Hypergeometric Function
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Connection Formula for the q-Confluent Hypergeometric Function
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| Creator |
Morita, T.
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| 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.
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| Date |
2019-02-21T07:04:56Z
2019-02-21T07:04:56Z 2013 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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