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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=19/4, b>=a > For fixed z and a=19/4, b=23/4





http://functions.wolfram.com/07.23.03.anha.01









  


  








Input Form





Hypergeometric2F1[19/4, 23/4, 1, -z] == (1/(7315 Pi Sqrt[1 + Sqrt[1 + z]])) (2 Sqrt[2] (((9657 - 96068 z + 141198 z^2 - 35572 z^3 + 385 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^9 + ((9657 - 96068 z + 141198 z^2 - 35572 z^3 + 385 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(17/2) + ((-9657 + 96068 z - 141198 z^2 + 35572 z^3 - 385 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^9 + (2 (-1171 - 20508 z + 129582 z^2 - 116636 z^3 + 17325 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])])/(1 + z)^(19/2)))








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)





2007-05-02