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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=-9/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), -(9/4), 2, z] == (1/(69615 Pi z)) (8 (-2 (-255 - 43664 z - 164450 z^2 - 86036 z^3 - 1335 z^4 + 60 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (255 + 26324 z + 84586 z^2 + 36660 z^3 + 15 z^4) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-255 - 43664 z - 164450 z^2 - 86036 z^3 - 1335 z^4 + 60 z^5) 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