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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=19/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 19/4, 6, z] == (1/(949024050975 Pi z^5)) (16384 (2 (1357824 - 700128 z - 825435 z^2 - 1762917 z^3 - 7480629 z^4 + 174394869 z^5 - 472523648 z^6 + 536033280 z^7 - 284884992 z^8 + 58720256 z^9) EllipticE[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-1357824 + 360672 z + 756483 z^2 + 1894854 z^3 + 7999095 z^4 - 56304624 z^5 + 91476992 z^6 - 60669952 z^7 + 14680064 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (1357824 - 700128 z - 825435 z^2 - 1762917 z^3 - 7480629 z^4 + 174394869 z^5 - 472523648 z^6 + 536033280 z^7 - 284884992 z^8 + 58720256 z^9) 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