DocumentationMathematicaBuilt-in FunctionsNew in Version 4.xMathematical Functions
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 Section 3.2.10. See also: Hypergeometric2F1. New in Version 4.
Further Examples
AppellF1[a, 
, 
, c, x, y] is the Appell hypergeometric function of two variables 
. 
has series expansion 
. 
reduces to 
when 
or 
. 
, 
, 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 
. 
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