Several results for contiguous function relations for hypergeometric functions of several variables are obtained. In these recurrences the coe cients are not all constant, but instead contain linear functions of the variables.
Contiguity Relations for Generalized Hypergeometric Functions
โ Scribed by Alan Adolphson and Bernard Dwork
- Book ID
- 124886294
- Publisher
- American Mathematical Society
- Year
- 1995
- Tongue
- English
- Weight
- 1003 KB
- Volume
- 347
- Category
- Article
- ISSN
- 0002-9947
- DOI
- 10.2307/2154904
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The theory of generalized hypergeometric functions is fundamental in the field of mathematical physics, since all the commonly used functions of analysis (Besse] Functions, Legendre Functions, etc.) are special cases of the general functions. The unified theory provides a means for the analysis of t
Hypergeometric functions have occupied a significant position in mathematics for over two centuries. This monograph, by one of the foremost experts, is concerned with the Boyarksy principle which expresses the analytic properties of a certain proto-gamma function. The author develops a theory whic