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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=-3/4





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









  


  








Input Form





Hypergeometric2F1[-(13/4), -(3/4), 6, z] == (1/(3736247840325 Pi z^5)) (16384 Sqrt[1 + Sqrt[z]] ((79872 - 932256 z + 5267301 z^2 - 20309289 z^3 + 73165950 z^4 + 537271966 z^5 + 116862977 z^6 - 7167237 z^7 + 403788 z^8) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-79872 + 79872 Sqrt[z] + 872352 z - 872352 z^(3/2) - 4622397 z^2 + 4622397 z^(5/2) + 16941210 z^3 - 16941210 z^(7/2) - 60965190 z^4 + 60965190 z^(9/2) - 125110216 z^5 + 125110216 z^(11/2) - 3398549 z^6 + 3398549 z^(13/2) + 201894 z^7 - 201894 z^(15/2)) 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