Results of Generalized Hypergeometric Functions and Meijer G-Function

Notation

16.1 Special 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 ${\displaystyle{\displaystyle{{}_{p}F_{q}}}}$ Functions
16.11 Asymptotic Expansions
16.12 Products

Two-Variable Hypergeometric Functions

16.13 Appell Functions
16.14 Partial Differential Equations
16.15 Integral Representations and Integrals
16.16 Transformations of Variables

Meijer ${\displaystyle{\displaystyle G}}$ -Function

16.17 Definition
16.18 Special Cases
16.19 Identities
16.20 Integrals and Series
16.21 Differential Equation
16.22 Asymptotic Expansions

Applications

16.23 Mathematical Applications
16.24 Physical Applications

Computation

16.25 Methods of Computation
16.26 Approximations
16.27 Software