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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=-19/4, b>=a > For fixed z and a=-19/4, b=23/4





http://functions.wolfram.com/07.23.03.a9wh.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 23/4, 1, z] == (1/(7315 Pi Sqrt[1 + Sqrt[z]])) (2 (2 (5021 + 5021 Sqrt[z] - 85904 z - 85904 z^(3/2) + 368784 z^2 + 368784 z^(5/2) - 565760 z^3 - 565760 z^(7/2) + 282880 z^4 + 282880 z^(9/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (2727 + 26844 z - 521456 z^2 + 1913600 z^3 - 2545920 z^4 + 1131520 z^5) 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