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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=-1/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), -(1/4), 3, z] == (1/(1514205 Pi Sqrt[1 + Sqrt[z]] z^2)) (64 ((-308 - 308 Sqrt[z] + 3927 z + 3927 z^(3/2) + 60279 z^2 + 60279 z^(5/2) + 2073 z^3 + 2073 z^(7/2) - 495 z^4 - 495 z^(9/2) + 60 z^5 + 60 z^(11/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 4 (-77 + 1001 z + 3000 z^2 - 4794 z^3 + 1095 z^4 - 255 z^5 + 30 z^6) 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