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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=-15/4, b>=a > For fixed z and a=-15/4, b=-5/4





http://functions.wolfram.com/07.23.03.ab7f.01









  


  








Input Form





Hypergeometric2F1[-(15/4), -(5/4), 1, z] == (1/(1155 Pi Sqrt[1 + Sqrt[z]])) (2 (2 (1059 + 1059 Sqrt[z] + 2997 z + 2997 z^(3/2) + 45 z^2 + 45 z^(5/2) - 5 z^3 - 5 z^(7/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-963 - 267 z + 1395 z^2 - 185 z^3 + 20 z^4) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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