In [H. Ozden, Y. Simsek, I.N. Cangul, Generating functions of the (h, q)-extension of Euler polynomials and numbers, Acta Math. Hungarica, in press (
Extension of Euler's beta function
β Scribed by M. Aslam Chaudhry; Asghar Qadir; M. Rafique; S.M. Zubair
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 579 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
β¦ Synopsis
An extension of Euler's beta function, analogous to the recent generalization of Euler's gamma function and Riemann's zeta function, for which the usual properties and representation are naturally and simply extended, is introduced. It is proved that the extension is connected to the Macdonald, error and Whittaker functions. In addition, the extended beta distribution is introduced.
π SIMILAR VOLUMES
The main object of this paper is to present generalizations of gamma, beta and hypergeometric functions. Some recurrence relations, transformation formulas, operation formulas and integral representations are obtained for these new generalizations.
## Abstract Extensions of the Euler's integral ([4], p. 59 (10)) are given in this article. A statistical technique is used to derive the results. The exact density of a product of __n__ stochastically independent Beta variates is obtained through two different methods, namely, through algebraic tr