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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.abvg.01









  


  








Input Form





Hypergeometric2F1[-(15/4), 23/4, 2, -z] == (1/(138985 Pi z (1 + z)^(1/4))) (8 (2 Sqrt[1 + z] (385 + 37112 z + 250224 z^2 + 486720 z^3 + 282880 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (-565760 z^5 + 385 (1 + Sqrt[1 + z]) + 16640 z^4 (-67 + 17 Sqrt[1 + z]) + 6240 z^3 (-109 + 78 Sqrt[1 + z]) + 16 z^2 (-7603 + 15639 Sqrt[1 + z]) + z (2462 + 37112 Sqrt[1 + z])) 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