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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > Specialized values > For fixed a, b, z





http://functions.wolfram.com/07.23.03.0105.01









  


  










Input Form





Hypergeometric2F1[a, b, 2 b, z] == (((2^(2 b) Exp[Pi I (a - b)])/Sqrt[Pi]) (Gamma[b + 1/2]/Gamma[2 b - a]) (1 - z)^((b - a)/2) LegendreQ[b - 1, b - a, 3, 2/z - 1])/z^b /; !IntervalMemberQ[Interval[{-Infinity, 0}], z] && !IntervalMemberQ[Interval[{1, Infinity}], z]










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29