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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=-7/4





http://functions.wolfram.com/07.23.03.9296.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(7/4), 4, z] == (1/(704105325 Pi z^3)) (256 (-2 Sqrt[1 - z] (-736 + 14881 z - 213969 z^2 - 4231846 z^3 - 5332610 z^4 - 469371 z^5 + 55811 z^6 - 6224 z^7 + 384 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-736 + 15433 z - 225078 z^2 + 1428431 z^3 + 11350060 z^4 + 7786359 z^5 + 14378 z^6 - 1583 z^7 + 96 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-736 + 14881 z - 213969 z^2 - 4231846 z^3 - 5332610 z^4 - 469371 z^5 + 55811 z^6 - 6224 z^7 + 384 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