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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=15/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 15/4, 5, -z] == (1/(140821065 Pi z^4)) (4096 (1 + z)^(1/4) (2 (1920 + 880 z - 1605 z^2 + 5550 z^3 + 45627 z^4 + 76104 z^5 + 51120 z^6 + 12480 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + 8 Sqrt[1 + z] (-240 + 70 z + 120 z^2 - 765 z^3 + 3471 z^4 + 11430 z^5 + 10440 z^6 + 3120 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (1920 + 880 z - 1605 z^2 + 5550 z^3 + 45627 z^4 + 76104 z^5 + 51120 z^6 + 12480 z^7) 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