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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=11/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 11/4, 5, z] == (1/(3886257375 Pi z^4)) (4096 (2 (-84864 + 286416 z - 116025 z^2 - 208845 z^3 + 2647925 z^4 - 5047679 z^5 + 4400256 z^6 - 1894400 z^7 + 327680 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 2 Sqrt[1 - z] (42432 - 132600 z + 29835 z^2 + 99450 z^3 - 354325 z^4 + 403992 z^5 - 207360 z^6 + 40960 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (-84864 + 286416 z - 116025 z^2 - 208845 z^3 + 2647925 z^4 - 5047679 z^5 + 4400256 z^6 - 1894400 z^7 + 327680 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