Contiguous relations for 2F1 hypergeometric series

Author

Mathematics Department, College of Science, Suez Canal University, Ismailia 41522, Egypt

Abstract

Two Gauss functions are said to be contiguous if they are alike except for one pair of parameters, and these differ by unity. Contiguous relations are of great use in extending numerical tables of the function. In this paper we will introduce a new method for computing such types of relations.

Keywords