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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=7/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 7/4, 4, z] == (1/(2523675 Pi Sqrt[1 + Sqrt[z]] z^3)) (256 ((-2464 - 2464 Sqrt[z] + 8393 z + 8393 z^(3/2) - 3850 z^2 - 3850 z^(5/2) + 8465 z^3 + 8465 z^(7/2) - 5800 z^4 - 5800 z^(9/2) + 1400 z^5 + 1400 z^(11/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (-2464 + 9009 z - 5775 z^2 - 10785 z^3 + 19515 z^4 - 12300 z^5 + 2800 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