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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=-9/4, b>=a > For fixed z and a=-9/4, b=9/4





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 9/4, 4, z] == (1/(69615 Pi Sqrt[1 + Sqrt[z]] z^3)) (256 ((96 + 96 Sqrt[z] - 171 z - 171 z^(3/2) - 126 z^2 - 126 z^(5/2) + 1085 z^3 + 1085 z^(7/2) - 1092 z^4 - 1092 z^(9/2) + 336 z^5 + 336 z^(11/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (96 - 195 z - 90 z^2 + 581 z^3 - 560 z^4 + 168 z^5) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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