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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=-17/4, b>=a > For fixed z and a=-17/4, b=-5/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), -(5/4), 5, z] == (1/(2331754425 Pi z^4)) (4096 (2 (-128 + 1840 z - 14123 z^2 + 95539 z^3 + 2426290 z^4 + 1942582 z^5 + 46025 z^6 - 3913 z^7 + 224 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 2 Sqrt[1 - z] (64 - 904 z + 6843 z^2 - 46160 z^3 - 654670 z^4 - 428316 z^5 - 469 z^6 + 28 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (-128 + 1840 z - 14123 z^2 + 95539 z^3 + 2426290 z^4 + 1942582 z^5 + 46025 z^6 - 3913 z^7 + 224 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