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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=15/4





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









  


  








Input Form





Hypergeometric2F1[15/4, 15/4, 2, z] == -((1/(2541 Pi (-1 + z)^6 z)) (8 ((-42 - 874 z + 434 z^2 + 482 z^3) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (-21 (1 + Sqrt[1 - z]) + (-437 + 193 Sqrt[1 - z]) z + (217 + 1037 Sqrt[1 - z]) z^2 + (241 + 231 Sqrt[1 - z]) z^3) EllipticK[(1/2) (1 - 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