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NIST
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.