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generalized functions

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11: 12.15 Generalized Parabolic Cylinder Functions
§12.15 Generalized Parabolic Cylinder Functions
12: 16.7 Relations to Other Functions
§16.7 Relations to Other Functions
13: 14.29 Generalizations
are called Generalized Associated Legendre Functions. … …
14: 16 Generalized Hypergeometric Functions & Meijer G-Function
Chapter 16 Generalized Hypergeometric Functions and Meijer G -Function
15: 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
16: Howard S. Cohl
Cohl has published papers in orthogonal polynomials and special functions, and is particularly interested in fundamental solutions of linear partial differential equations on Riemannian manifolds, associated Legendre functions, generalized and basic hypergeometric functions, eigenfunction expansions of fundamental solutions in separable coordinate systems for linear partial differential equations, orthogonal polynomial generating function and generalized expansions, and q -series. …
17: 9.13 Generalized Airy Functions
§9.13 Generalized Airy Functions
Swanson and Headley (1967) define independent solutions A n ( z ) and B n ( z ) of (9.13.1) by … Their relations to the functions A n ( z ) and B n ( z ) are given by …
18: 4.12 Generalized Logarithms and Exponentials
A generalized exponential function ϕ ( x ) satisfies the equations …It, too, is strictly increasing when 0 x 1 , and …
4.12.6 ϕ ( x ) = ln ( x + 1 ) , 1 < x < 0 ,
4.12.9 ψ ( x ) = + ln ln  times x , x > 1 ,
For C generalized logarithms, see Walker (1991). …
19: 9.1 Special Notation
k nonnegative integer, except in §9.9(iii).
20: 7.11 Relations to Other Functions
Incomplete Gamma Functions and Generalized Exponential Integral
Generalized Hypergeometric Functions