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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=-13/4, b>=a > For fixed z and a=-13/4, b=1/4





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









  


  








Input Form





Hypergeometric2F1[-(13/4), 1/4, 6, -z] == (1/(487336674825 Pi z^5)) (16384 (1 + z)^(1/4) (2 (-79872 - 767520 z - 3407157 z^2 - 9566700 z^3 - 21737430 z^4 + 52158876 z^5 + 10014235 z^6 + 1860936 z^7 + 175560 z^8) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-79872 - 707616 z - 2885805 z^2 - 7481760 z^3 - 16434990 z^4 + 4230996 z^5 + 850003 z^6 + 87780 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-79872 - 767520 z - 3407157 z^2 - 9566700 z^3 - 21737430 z^4 + 52158876 z^5 + 10014235 z^6 + 1860936 z^7 + 175560 z^8) EllipticK[1/2 - 1/(2 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