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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=-5/4, b>=a > For fixed z and a=-5/4, b=21/4





http://functions.wolfram.com/07.23.03.agc3.01









  


  








Input Form





Hypergeometric2F1[-(5/4), 21/4, 2, z] == (8 ((-65 + 6077 z - 26488 z^2 + 35280 z^3 - 14784 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-1 + Sqrt[z]) (-65 + 3542 z - 10864 z^2 + 7392 z^3) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(9945 Pi (-1 + Sqrt[z])^2 (1 + Sqrt[z])^(3/2) 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