𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hypergeometric Functions for Function Fields

✍ Scribed by D.S. Thakur

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
505 KB
Volume
1
Category
Article
ISSN
1071-5797

No coin nor oath required. For personal study only.

✦ Synopsis

We introduce and study analogues of hypergeometric functions in the setting of function fields over finite fields. We show analogues of the differential equations, integral representations, transformation formulae, and continued fractions and show how analogues of various special functions and orthogonal polynomials occur as their specializations. There are two analogues: one with characteristic zero domain and one with characteristic (p) domain. O 1995 Academic Press, Inc.

πŸ“œ SIMILAR VOLUMES

Less simple contiguous function relation
Less simple contiguous function relations for hypergeometric functions
✍ R.G. Buschman πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 53 KB

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.

Computing the Hypergeometric Function
Computing the Hypergeometric Function
✍ Robert C. Forrey πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 318 KB

The hypergeometric function of a real variable is computed for arbitrary real parameters. The transformation theory of the hypergeometric function is used to obtain rapidly convergent power series. The divergences that occur in the individual terms of the transformation for integer parameters are re

Decomposition formulas for Srivastava’s
Decomposition formulas for Srivastava’s hypergeometric function on Saran functions
✍ Mamasali Turaev πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 430 KB

## Chaundy symbolic operators Inverse pairs of symbolic operators a b s t r a c t By using some techniques based upon certain inverse pairs of symbolic operators, the author investigates several decomposition formulas associated with Srivastava's hypergeometric function H A in three variables. The