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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.aaxu.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 21/4, 3, z] == (1/(348075 Pi Sqrt[1 + Sqrt[z]] z^2)) (64 (2 (-6 - 6 Sqrt[z] - 123 z - 123 z^(3/2) + 13675 z^2 + 13675 z^(5/2) - 86240 z^3 - 86240 z^(7/2) + 190960 z^4 + 190960 z^(9/2) - 177408 z^5 - 177408 z^(11/2) + 59136 z^6 + 59136 z^(13/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (-12 - 243 z + 16535 z^2 - 96360 z^3 + 203280 z^4 - 182336 z^5 + 59136 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