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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=3/4





http://functions.wolfram.com/07.23.03.a9ee.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 3/4, 2, z] == (1/(504735 Pi Sqrt[1 + Sqrt[z]] z)) (8 ((21945 + 21945 Sqrt[z] + 59181 z + 59181 z^(3/2) - 84033 z^2 - 84033 z^(5/2) + 67527 z^3 + 67527 z^(7/2) - 28700 z^4 - 28700 z^(9/2) + 5040 z^5 + 5040 z^(11/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-21945 + 72489 z - 148053 z^2 + 195939 z^3 - 148270 z^4 + 59920 z^5 - 10080 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