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15 Hypergeometric FunctionNotation

§15.1 Special Notation

(For other notation see Notation for the Special Functions.)

x real variable.
z=x+iy complex variable.
a,b,c real or complex parameters.
k,,m,n integers.
s nonnegative integer.
δ arbitrary small positive constant.
Γ(z) gamma function (§5.2(i)).
ψ(z) Γ(z)/Γ(z).

Unless indicated otherwise primes denote derivatives with respect to the variable.