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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=-9/4





http://functions.wolfram.com/07.23.03.ac8q.01









  


  








Input Form





Hypergeometric2F1[-(13/4), -(9/4), 6, z] == (1/(1915924885875 Pi z^5)) (16384 (2 (6144 - 91488 z + 688233 z^2 - 3753150 z^3 + 20943975 z^4 + 499003324 z^5 + 479571847 z^6 + 73024258 z^7 + 258825 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (6144 - 89952 z + 666465 z^2 - 3596625 z^3 + 20116650 z^4 + 269777854 z^5 + 220251173 z^6 + 27694275 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (6144 - 91488 z + 688233 z^2 - 3753150 z^3 + 20943975 z^4 + 499003324 z^5 + 479571847 z^6 + 73024258 z^7 + 258825 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