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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=-11/4, b>=a > For fixed z and a=-11/4, b=-3/4





http://functions.wolfram.com/07.23.03.ad3o.01









  


  








Input Form





Hypergeometric2F1[-(11/4), -(3/4), 6, z] == (1/(61538805405 Pi z^5)) (16384 (-2 Sqrt[1 - z] (-2048 + 21664 z - 109971 z^2 + 378664 z^3 - 1229306 z^4 - 3129588 z^5 - 181355 z^6 + 8740 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-2048 + 23200 z - 126075 z^2 + 459685 z^3 - 1506230 z^4 + 5280978 z^5 + 4354705 z^6 + 2185 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-2048 + 21664 z - 109971 z^2 + 378664 z^3 - 1229306 z^4 - 3129588 z^5 - 181355 z^6 + 8740 z^7) 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