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





http://functions.wolfram.com/07.23.03.9856.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 13/4, 4, z] == (1/(2112315975 Pi z^3)) (256 (-2 Sqrt[1 - z] (153824 + 254771 z + 975821 z^2 - 25531171 z^3 + 87820835 z^4 - 136730752 z^5 + 112658432 z^6 - 48037888 z^7 + 8388608 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (153824 + 139403 z + 773927 z^2 - 9783439 z^3 + 28760525 z^4 - 40718992 z^5 + 31271936 z^6 - 12599296 z^7 + 2097152 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (153824 + 254771 z + 975821 z^2 - 25531171 z^3 + 87820835 z^4 - 136730752 z^5 + 112658432 z^6 - 48037888 z^7 + 8388608 z^8) 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