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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=-13/4, b>=a > For fixed z and a=-13/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[-(13/4), 23/4, 1, -z] == (1/(855855 Pi Sqrt[1 + Sqrt[1 + z]])) (2 Sqrt[2] ((1/(1 + z)) ((1775413 + 26390912 z + 98482176 z^2 + 132579328 z^3 + 58720256 z^4) EllipticE[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])]) + (1/Sqrt[1 + z]) ((1775413 + 26390912 z + 98482176 z^2 + 132579328 z^3 + 58720256 z^4) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]) - (1/(1 + z)^(3/2)) (2 (459779 + 5195704 z + 16025088 z^2 + 18636800 z^3 + 7340032 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]) - (1/(1 + z)) ((1775413 + 26390912 z + 98482176 z^2 + 132579328 z^3 + 58720256 z^4) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + 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