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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=1/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 1/4, 3, z] == (1/(504735 Pi z^2)) (64 (-4 Sqrt[1 - z] (110 - 1045 z - 2616 z^2 + 1271 z^3 - 424 z^4 + 64 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (220 - 2255 z + 12093 z^2 + 691 z^3 - 221 z^4 + 32 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] + 2 Sqrt[1 - z] (110 - 1045 z - 2616 z^2 + 1271 z^3 - 424 z^4 + 64 z^5) EllipticK[(1/2) (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