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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=19/4





http://functions.wolfram.com/07.23.03.a9sy.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 19/4, 5/2, -z] == (1/(38675 z^(3/2) Sqrt[-1 + Sqrt[1 + z]])) (2 Sqrt[2] (38 - 1539 z - 29805 z^2 - 132008 z^3 - 237744 z^4 - 190528 z^5 - 56576 z^6 + (1/Sqrt[1 + z]) (2 (-19 + 760 z + 20124 z^2 + 118801 z^3 + 300176 z^4 + 377104 z^5 + 232960 z^6 + 56576 z^7))))








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