Modified hypergeometric equations arising from the Markoff theory

Comparison between Rational Gegenbauer and Modified Generalized Laguerre Functions Collocation Methods for Solving the Case of Heat Transfer Equations Arising in Porous Medium

Hypergeometric τ Functions of the q - Painlevé Systems of Types A ( 1 ) 4 and ( A 1 + A ′ 1 ) ( 1 )

We consider q-Painlevé equations arising from birational representations of the extended affine Weyl groups of A (1) 4 and (A1+A1) -types. We study their hypergeometric solutions on the level of τ functions.

New Hypergeometric-like Series for 1/π Arising from Ramanujan’s Theory of Elliptic Functions to Alternative Base 3 Nayandeep Deka Baruah and Narayan Nayak

By using certain representations for Eisenstein series, we find new hypergeometric-like series for 1/π2 arising from Ramanujan’s theory of elliptic functions to alternative base 3.

Galois groups of the basic hypergeometric equations 1 by

In this paper we compute the Galois groups of basic hypergeometric equations. In this paper q is a complex number such that 0 < |q| < 1. 1 Basic hypergeometric series and equations The theory of hypergeometric functions and equations dates back at least as far as Gauss. It has long been and is still an integral part of the mathematical literature. In particular, the Galois theory of (generalize...

Galois groups of the basic hypergeometric equations 1 by Julien Roques 20 th of August 2007

In this paper we compute the Galois groups of basic hypergeometric equations. In this paper q is a complex number such that 0 < |q| < 1. 1 Basic hypergeometric series and equations The theory of hypergeometric functions and equations dates back at least as far as Gauss. It has long been and is still an integral part of the mathematical literature. In particular, the Galois theory of (generalize...