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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.akq8.01









  


  










Input Form





Hypergeometric2F1[7/4, 21/4, 2, -z] == -((1/(9945 Pi z (1 + z)^(19/4))) (8 (-2 (-195 + 2866 z + 1541 z^2 + 648 z^3 + 120 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (120 z^4 - 195 (1 + Sqrt[1 + z]) + 12 z^3 (54 + 5 Sqrt[1 + z]) + z^2 (1541 + 269 Sqrt[1 + z]) + z (2866 + 526 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