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variants of this functions
Hypergeometric2F1Regularized






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Specific values > Specialized values > For fixed a, c, z





http://functions.wolfram.com/07.24.03.0108.01









  


  










Input Form





Hypergeometric2F1Regularized[a, a + 1/2, c, z] == Exp[Pi I (c - 2 a - 1/2)] 2^(c - 1/2) (1/(Sqrt[Pi] Gamma[2 a])) z^((1 - 2 c)/4) (1 - z)^((2 c - 1)/4 - a) LegendreQ[c - 3/2, 2 a - c + 1/2, 3, 1/Sqrt[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





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