On a generalized H-function transform
β Scribed by C.M Joshi; M.L Prajapat
- Publisher
- Elsevier Science
- Year
- 1976
- Weight
- 226 KB
- Volume
- 79
- Category
- Article
- ISSN
- 1385-7258
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π SIMILAR VOLUMES
We show that a certain generalized beta function B(x, y; b) which reduces to Euler's beta functions B(x, y) when its variable b vanishes and preserves symmetry in its parameters may be represented in terms of a finite number of well known higher transcendental functions except (possibly) in the case
## Abstract An integral transform with a kernel generalizing the Bessel function of the first kind is investigated in weighted __L~p~__βspaces. Mapping properties, such as the boundedness, the representation and the range of the transform, are given and an inversion formula is proved. (Β© 2003 WILEY