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generalized hypergeometric functions


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1: 16.2 Definition and Analytic Properties
§16.2(i) Generalized Hypergeometric Series
Unless indicated otherwise it is assumed that in the DLMF generalized hypergeometric functions assume their principal values. …
§16.2(v) Behavior with Respect to Parameters
2: 35.8 Generalized Hypergeometric Functions of Matrix Argument
§35.8 Generalized Hypergeometric Functions of Matrix Argument
§35.8(i) Definition
Convergence Properties
§35.8(ii) Relations to Other Functions
3: 17.15 Generalizations
§17.15 Generalizations
4: 16.24 Physical Applications
§16.24 Physical Applications
§16.24(i) Random Walks
Generalized hypergeometric functions and Appell functions appear in the evaluation of the so-called Watson integrals which characterize the simplest possible lattice walks. …
§16.24(iii) 3 j , 6 j , and 9 j Symbols
5: 16.26 Approximations
§16.26 Approximations
For discussions of the approximation of generalized hypergeometric functions and the Meijer G -function in terms of polynomials, rational functions, and Chebyshev polynomials see Luke (1975, §§5.12 - 5.13) and Luke (1977b, Chapters 1 and 9).
6: 16.7 Relations to Other Functions
§16.7 Relations to Other Functions
7: 16.23 Mathematical Applications
§16.23 Mathematical Applications
§16.23(ii) Random Graphs
§16.23(iii) Conformal Mapping
§16.23(iv) Combinatorics and Number Theory
8: 16 Generalized Hypergeometric Functions & Meijer G-Function
Chapter 16 Generalized Hypergeometric Functions and Meijer G -Function
9: 16.25 Methods of Computation
§16.25 Methods of Computation
10: Adri B. Olde Daalhuis