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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=5/4





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









  


  








Input Form





Hypergeometric2F1[-(5/4), 5/4, 6, z] == (1/(80405325 Pi Sqrt[1 + Sqrt[z]] z^5)) (16384 ((-(2048 + 2048 Sqrt[z] - 11616 z - 11616 z^(3/2) + 26835 z^2 + 26835 z^(5/2) - 31465 z^3 - 31465 z^(7/2) + 17325 z^4 + 17325 z^(9/2) - 14091 z^5 - 14091 z^(11/2) + 2772 z^6 + 2772 z^(13/2))) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (2048 - 12128 z + 29595 z^2 - 37435 z^3 + 23695 z^4 - 7161 z^5 + 1386 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