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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=-17/4, b>=a > For fixed z and a=-17/4, b=11/2





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 11/2, 2, z] == (2 (-17680 + 3490528 z - 33010980 z^2 + 98437746 z^3 - 115786209 z^4 + 46940355 z^5) EllipticE[1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])] + 2 Sqrt[1 - z] (-17680 + 3490528 z - 33010980 z^2 + 98437746 z^3 - 115786209 z^4 + 46940355 z^5) EllipticE[ 1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])] + (1 - z)^(3/4) (17680 - 1810928 z + 12790116 z^2 - 25928958 z^3 + 15646785 z^4) EllipticK[1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])] + (17680 - 3490528 z + 33010980 z^2 - 98437746 z^3 + 115786209 z^4 - 46940355 z^5) EllipticK[1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])] + (1 - z)^(1/4) (17680 - 3490528 z + 33010980 z^2 - 98437746 z^3 + 115786209 z^4 - 46940355 z^5) EllipticK[ 1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])] + Sqrt[1 - z] (17680 - 3490528 z + 33010980 z^2 - 98437746 z^3 + 115786209 z^4 - 46940355 z^5) EllipticK[ 1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])])/ (417690 Sqrt[2] Pi Sqrt[1 + Sqrt[1 - z]] 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)





2007-05-02