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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=-15/4, b>=a > For fixed z and a=-15/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 23/4, 4, -z] == (1/(86309685 Pi z^3)) (256 (1 + z)^(1/4) (2 (224 - 2121 z + 22827 z^2 + 576696 z^3 + 1911312 z^4 + 2208960 z^5 + 848640 z^6) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (224 - 2121 z + 22827 z^2 + 576696 z^3 + 1911312 z^4 + 2208960 z^5 + 848640 z^6) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-224 + 2289 z - 24570 z^2 + 116304 z^3 + 1591200 z^4 + 3144960 z^5 + 1697280 z^6) EllipticK[1/2 - 1/(2 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