AppellF1

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

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 The Mathematica Book: Section 3.2.10.

See also: Hypergeometric2F1.

Further Examples