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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=-15/4





http://functions.wolfram.com/07.23.03.9114.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(15/4), 2, z] == (1/(4542615 Pi z)) (8 (-2 Sqrt[1 - z] (-8855 - 1269693 z - 8303922 z^2 - 11003162 z^3 - 3118923 z^4 - 58905 z^5 + 1540 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-8855 - 127398 z + 4821759 z^2 + 21181516 z^3 + 18406263 z^4 + 3250170 z^5 + 385 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-8855 - 1269693 z - 8303922 z^2 - 11003162 z^3 - 3118923 z^4 - 58905 z^5 + 1540 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