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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=-5/4





http://functions.wolfram.com/07.23.03.ab7j.01









  


  








Input Form





Hypergeometric2F1[-(15/4), -(5/4), 2, z] == (1/(65835 Pi Sqrt[1 + Sqrt[z]] z)) (8 ((385 + 385 Sqrt[z] + 26139 z + 26139 z^(3/2) + 38697 z^2 + 38697 z^(5/2) + 345 z^3 + 345 z^(7/2) - 30 z^4 - 30 z^(9/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-385 - 9584 z + 3354 z^2 + 7260 z^3 - 705 z^4 + 60 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