Chapter 16 Generalized Hypergeometric Functions and Meijer 
-Function
- Acknowledgments:
- The authors are pleased to acknowledge the assistance of B. L. J. Braaksma with §§16.5 and 16.11.
- Notes:
- The main references used in writing this chapter are Erdélyi et al. (1953a), Luke (1969a, 1975). For additional bibliographic reading see Andrews et al. (1999) and Slater (1966).
- Referenced by:
- Adri B. Olde Daalhuis, Richard A. Askey, Organization and Objective, § ‣ § Software Cross Index
- Permalink:
- http://dlmf.nist.gov/16
Department of Mathematics,
University of Wisconsin,
Madison, Wisconsin.
School of Mathematics,
Edinburgh University,
Edinburgh, United Kingdom.
- Notation
-
Generalized Hypergeometric Functions
- 16.2 Definition and Analytic Properties
- 16.3 Derivatives and Contiguous Functions
- 16.4 Argument Unity
- 16.5 Integral Representations and Integrals
- 16.6 Transformations of Variable
- 16.7 Relations to Other Functions
- 16.8 Differential Equations
- 16.9 Zeros
- 16.10 Expansions in Series of
Functions - 16.11 Asymptotic Expansions
- 16.12 Products
- Two-Variable Hypergeometric Functions
-
Meijer -Function
- Applications
- Computation