A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
A naive-topological study of the contiguity relations for hypergeometric functions

2005
*
PDEs, Submanifolds and Affine Differential Geometry
*
unpublished

When the parameters are real, the hypergeometric equation defines a Schwarz triangle. We study a combinatorial-topological property of the Schwarz triangle when the three angles are not necessarily less than π. 1. Introduction. Let E(a, b, c) be the hypergeometric differential equation where a, b and c are real parameters. Its Schwarz map (cf. [Yo]) is defined by where u 1 and u 2 are two linearly independent solutions of E(a, b, c). The image of the upper half plane then the Schwarz triangle

doi:10.4064/bc69-0-20
fatcat:eh6fkdlntfaf3gu3s4fyolowoe