A very good place for Hypergeometric Functions is Wolfram Alpha here.
A pre-$\LaTeX$ report from Pincherle, Hypergeometric functions and various related problems, NASA, December 1, 1965, is available here.
ADDED:
NIST Digital Library of Mathematical Functions:
- Chapter 13 Confluent Hypergeometric Functions
- Chapter 15 Hypergeometric Function
J Pearson, Computation of Hypergeometric Functions, MSc. Dissertation, Oxford, 2009. Matlab code here
Z.X.Wang, D.R. Guo, Special Functions, World Scientific Publishing, 1989
M. Yoshida, Hypergeometric Functions, My Love, Vieweg, 1997
