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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=-23/4, b>=a > For fixed z and a=-23/4, b=1/4





http://functions.wolfram.com/07.23.03.9474.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 1/4, 3, z] == (1/(422463195 Pi z^2)) (64 (-8 Sqrt[1 - z] (24035 - 312455 z - 1344276 z^2 + 1065692 z^3 - 706175 z^4 + 318843 z^5 - 85504 z^6 + 10240 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (96140 - 1321925 z + 8755476 z^2 + 1229306 z^3 - 785624 z^4 + 341571 z^5 - 88384 z^6 + 10240 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] + 4 Sqrt[1 - z] (24035 - 312455 z - 1344276 z^2 + 1065692 z^3 - 706175 z^4 + 318843 z^5 - 85504 z^6 + 10240 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