Integration of the Partial Differential Equations for the Hypergeometric Functions F1 and FD of Two and More Variables
- 1 March 1964
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 5 (3) , 420-430
- https://doi.org/10.1063/1.1704134
Abstract
From Kummer's 24 solutions of the ordinary hypergeometric equation and their connections, the general solution of the partial differential equations for the Appell function F1 in the neighborhood of the singular points is found. Connections between the solutions are given to the extent required to continue the F1 function to the neighborhood of any of its singular points. The corresponding problem for the hypergeometric function FD of more than two variables is briefly indicated.Keywords
This publication has 1 reference indexed in Scilit:
- Hypergeometric functions of two variablesActa Mathematica, 1950