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...
Saved in:
| Date: | 2013 |
|---|---|
| Main Author: | Morita, T. |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2013
|
| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149343 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
-
On transformation formulas for theta hypergeometric functions
by: Denis, R.Y., et al.
Published: (2012) -
Quasi-Orthogonality of Some Hypergeometric and q-Hypergeometric Polynomials
by: Tcheutia, D.D., et al.
Published: (2018) -
Hypergeometric τ-Functions of the q-Painlevé System of Type E₇⁽¹⁾
by: Masuda, T.
Published: (2009) -
Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾
by: Nakazono, N.
Published: (2016) -
Well-posed reduction formulas for the q-Kampé-de-Fériet function
by: Chu, W., et al.
Published: (2010)