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Built-in Functions

Mathematical Functions

Hypergeometric Related

AppellF1

Usage

• AppellF1[a, , , c, x, y] is the Appell hypergeometric function of two variables .

Notes

• Mathematical function (see Section A.3.10).

•

has series expansion

.

•

reduces to

when

or

.

• AppellF1[a,

,

, c, x, y] has singular lines in two-variable complex

space at

and

, and has branch cut discontinuities along the rays from

to

in

and

.

• FullSimplify and FunctionExpand include transformation rules for AppellF1.

• See Section 3.2.11.

• See also: Hypergeometric2F1.

• New in Version 4.

Further Examples

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