Some Integrals of Gamma, Polygamma and Volterra Functions
β Scribed by APELBLAT, ALEXANDER
- Book ID
- 117997971
- Publisher
- Oxford University Press
- Year
- 1985
- Tongue
- English
- Weight
- 342 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0272-4960
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## Abstract The Gamma function and its __n__ th logarithmic derivatives (that is, the polygamma or the psiβfunctions) have found many interesting and useful applications in a variety of subjects in pure and applied mathematics. Here we mainly apply these functions to treat convolutions of the Rayle
The analyhc calculation of a generahzatlon of the integral representation of the polyloganthmlc functions is presented As a consequence, several new series, most of them containing gamma and polygamma functions, are calculated (~) 1998 Elselver Science B V All rights reserved.
In the present paper, we establish necessary and sufficient conditions for the functions | respectively to be monotonic and completely monotonic on (0, β), where i β N, Ξ± > 0 and Ξ² β₯ 0 are scalars, and Ο (i) (x) are polygamma functions.