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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=-17/4, b>=a > For fixed z and a=-17/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 21/4, 1, z] == (1/(9945 Pi Sqrt[1 + Sqrt[z]])) (2 (2 (14389 + 14389 Sqrt[z] - 262416 z - 262416 z^(3/2) + 1149456 z^2 + 1149456 z^(5/2) - 1774080 z^3 - 1774080 z^(7/2) + 887040 z^4 + 887040 z^(9/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-18833 + 308264 z - 1260336 z^2 + 1848000 z^3 - 887040 z^4) 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