§15.1 Special Notation

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

	real variable.
	complex variable.
	real or complex parameters.
	integers.
	nonnegative integer.
	arbitrary small positive constant.
	gamma function (§5.2(i)).
	.

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

We use the following notations for the hypergeometric function:

15.1.1

ⓘ

Symbols:

or : Gauss’ hypergeometric function, : notation for Gauss’ hypergeometric function, : complex variable, : real or complex parameter, : real or complex parameter and : real or complex parameter

Permalink:

http://dlmf.nist.gov/15.1.E1

Encodings:

TeX, pMML, png

See also:

Annotations for §15.1 and Ch.15

and also

15.1.2

ⓘ

Symbols:

: gamma function, or : Gauss’ hypergeometric function, or : scaled (or Olver’s) generalized hypergeometric function, or : Olver’s hypergeometric function, : complex variable, : real or complex parameter, : real or complex parameter and : real or complex parameter

Permalink:

http://dlmf.nist.gov/15.1.E2

Encodings:

TeX, pMML, png

See also:

Annotations for §15.1 and Ch.15

(Olver (1997b, Chapter 5)).