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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.a9ek.01









  


  










Input Form





Hypergeometric2F1[-(19/4), 3/4, 7/2, z] == (1/(672945 z^(5/2))) (4 ((1 + Sqrt[z])^(15/2) (2508 - 18810 Sqrt[z] + 58729 z - 94050 z^(3/2) + 87780 z^2 - 48832 z^(5/2) + 15120 z^3 - 2016 z^(7/2)) - (1 - Sqrt[z])^(15/2) (2508 + 18810 Sqrt[z] + 58729 z + 94050 z^(3/2) + 87780 z^2 + 48832 z^(5/2) + 15120 z^3 + 2016 z^(7/2))))










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