Simple connections between generalized hypergeometric series and dilogarithms
β Scribed by Miguel Angel Sanchis-Lozano
- Book ID
- 104338491
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 416 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
β¦ Synopsis
Connections between generalized hypergeometric series and dilogarithms are investigated. Some simple relations of an Appell's function and dilogarithms are found.
π SIMILAR VOLUMES
The R. x n generalized Pascal matrix P(t) whose elements are related to the hypergeometric function zFr(a, b; c; Z) is presented and the Cholesky decomposition of P(t) is obtained.
We survey summation theorems for generalized bibasic hypergeometric series found recently by Chu and perfected by Macdonald. These contain arbitrary sequences of parameters, and generalize bibasic summation theorems found by Gosper, Gasper, and Rahman. They also contain a host of matrix inversions,
We derive summation formulas for generalized hypergeometric series of unit argument, one of which upon specialization reduces to Minton's summation theorem. As an application we deduce a reduction formula for a certain KampΓ© de FΓ©riet function that in turn provides a Kummer-type transformation formu