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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=-11/4, b>=a > For fixed z and a=-11/4, b=19/4





http://functions.wolfram.com/07.23.03.adn2.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 19/4, 5, z] == (1/(68139225 Pi Sqrt[1 + Sqrt[z]] z^4)) (4096 ((-128 - 128 Sqrt[z] - 240 z - 240 z^(3/2) - 597 z^2 - 597 z^(5/2) - 2499 z^3 - 2499 z^(7/2) + 22104 z^4 + 22104 z^(9/2) - 30960 z^5 - 30960 z^(11/2) + 12480 z^6 + 12480 z^(13/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 8 (-16 - 26 z - 66 z^2 - 291 z^3 - 1311 z^4 + 7110 z^5 - 8520 z^6 + 3120 z^7) 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