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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=-5/4, b>=a > For fixed z and a=-5/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(5/4), 21/4, 5, z] == (1/(46154745 Pi Sqrt[1 + Sqrt[z]] z^4)) (4096 ((-(128 + 128 Sqrt[z] + 304 z + 304 z^(3/2) + 735 z^2 + 735 z^(5/2) + 2520 z^3 + 2520 z^(7/2) - 47376 z^4 - 47376 z^(9/2) + 44352 z^5 + 44352 z^(11/2))) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + 2 (64 + 136 z + 325 z^2 + 1155 z^3 - 12768 z^4 + 11088 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