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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/07.23.03.0094.01









  


  








Input Form





Hypergeometric2F1[a, b, a - b + 1, z] == Exp[Pi I ((1 - 2 b)/2)] (Gamma[a - b + 1]/(Sqrt[Pi] Gamma[a])) z^((2 b - 2 a - 1)/4) (1 - z)^(1/2 - b) LegendreQ[a - b - 1/2, b - 1/2, 3, (z + 1)/(2 Sqrt[z])] /; Abs[z] < 1








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