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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=-13/4, b>=a > For fixed z and a=-13/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[-(13/4), 19/4, 6, z] == (1/(25649298675 Pi z^5)) (16384 (-2 (-79872 + 36192 z + 37947 z^2 + 70278 z^3 + 250575 z^4 - 4525632 z^5 + 9160192 z^6 - 6914048 z^7 + 1835008 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (79872 - 16224 z - 32643 z^2 - 74490 z^3 - 270075 z^4 + 1318272 z^5 - 1398784 z^6 + 458752 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-79872 + 36192 z + 37947 z^2 + 70278 z^3 + 250575 z^4 - 4525632 z^5 + 9160192 z^6 - 6914048 z^7 + 1835008 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