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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.abez.01









  


  








Input Form





Hypergeometric2F1[-(15/4), 5/4, 4, z] == (1/(4542615 Pi z^3)) (256 (-2 Sqrt[1 - z] (1760 - 9405 z + 17325 z^2 - 32947 z^3 + 27747 z^4 - 11808 z^5 + 2048 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (1760 - 10725 z + 24255 z^2 - 9847 z^3 + 7701 z^4 - 3096 z^5 + 512 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (1760 - 9405 z + 17325 z^2 - 32947 z^3 + 27747 z^4 - 11808 z^5 + 2048 z^6) 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