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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.abo6.01









  


  








Input Form





Hypergeometric2F1[-(15/4), 15/4, 4, -z] == (1/(4542615 Pi z^3)) (256 (1 + z)^(1/4) (2 (160 - 435 z + 2130 z^2 + 25917 z^3 + 54504 z^4 + 43920 z^5 + 12480 z^6) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (160 - 435 z + 2130 z^2 + 25917 z^3 + 54504 z^4 + 43920 z^5 + 12480 z^6) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-160 + 555 z - 2565 z^2 + 11568 z^3 + 59040 z^4 + 69120 z^5 + 24960 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