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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=7/4, b>=a > For fixed z and a=7/4, b=21/4





http://functions.wolfram.com/07.23.03.akq2.01









  


  








Input Form





Hypergeometric2F1[7/4, 21/4, 1, -z] == (1/(9945 Pi (1 + z)^(23/4))) (2 (-8 (-4426 + 7479 z + 2214 z^2 + 639 z^3 + 90 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (-17704 + 360 z^4 - 7759 Sqrt[1 + z] + 36 z^3 (71 + 5 Sqrt[1 + z]) + 3 z^2 (2952 + 371 Sqrt[1 + z]) + 6 z (4986 + 569 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