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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=-9/4, b>=a > For fixed z and a=-9/4, b=17/4





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 17/4, 5, z] == (1/(22624875 Pi Sqrt[1 + Sqrt[z]] z^4)) (4096 ((-384 - 384 Sqrt[z] - 272 z - 272 z^(3/2) - 405 z^2 - 405 z^(5/2) - 1155 z^3 - 1155 z^(7/2) + 23800 z^4 + 23800 z^(9/2) - 35952 z^5 - 35952 z^(11/2) + 14784 z^6 + 14784 z^(13/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 2 (-192 - 88 z - 155 z^2 - 510 z^3 + 6545 z^4 - 9296 z^5 + 3696 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