A q-Analogue of Weber-Schafheitlin Integral of Bessel Functions
β Scribed by Mizan Rahman
- Book ID
- 110282532
- Publisher
- Springer US
- Year
- 2000
- Tongue
- English
- Weight
- 100 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1382-4090
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
In this note our aim is to deduce some sufficient conditions for integral operators involving Bessel functions of the first kind to be univalent in the open unit disk. The key tools in our proofs are the generalized versions of the well-known Ahlfors' and Becker's univalence criteria and some inequa