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.
Some properties of Gamma and Beta matrix functions
✍ Scribed by L Jódar; J.C Cortés
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 240 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, conditions for matrices P, Q so that the Beta matrix function
showing that hypotheses cannot be removed are also included. A limit expression for the Gamma function of a matrix is established.
📜 SIMILAR VOLUMES
Three new properties are derived. The first one relates to the distribution of UG q G X , where the three variables are independent, G, G X have gamma distributions and U is arbitrary; the second one concerns the case where U has a beta distribution, and the third one the case where 1rU has a beta d
## Abstract In this paper, we have exhibited, by utilizing value distribution theory, some new properties of the Gamma function Γ(__z__) and the Riemann zeta function ζ(__z__). Specifically, we have proved that both of the two functions are prime and the Riemann zeta function, like Γ(__z__), does n