Summations for basic hypergeometric series involving a q-analogue of the digamma function
β Scribed by C. Krattenthaler; H.M. Srivastava
- Book ID
- 108022608
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 946 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
As an application of a general q-difference equation for basic hypergeometric series well-poised in SU(n), an elementary proof is given of a q-analog of Holman's SU(n) generalization of the terminating sF4( 1) summation theorem. This provides an SC/(n) generalization of the terminating e@s summation
An addition and product formula for the Hahn Exton \(q\)-Bessel function, previously obtained by use of a quantum group theoretic interpretation, are proved analytically. A (formal) limit transition to the Graf addition formula and corresponding product formula for the Bessel function is given. 1995