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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 8 and fixed z and a<0 > For fixed z and a=-47/8, b>=a > For fixed z and a=-47/8, b=37/8





http://functions.wolfram.com/07.23.03.b5lw.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 37/8, -(3/2), z] == (1/158688) ((1/(1 - Sqrt[z])^(1/4)) (79344 - 19836 Sqrt[z] + 1429845 z - 363660 z^(3/2) + 39275280 z^2 + 79480064 z^(5/2) - 700641536 z^3 - 456268800 z^(7/2) + 2674933760 z^4 + 791019520 z^(9/2) - 3693281280 z^5 - 423362560 z^(11/2) + 1693450240 z^6) + (1/(1 + Sqrt[z])^(1/4)) (79344 + 19836 Sqrt[z] + 1429845 z + 363660 z^(3/2) + 39275280 z^2 - 79480064 z^(5/2) - 700641536 z^3 + 456268800 z^(7/2) + 2674933760 z^4 - 791019520 z^(9/2) - 3693281280 z^5 + 423362560 z^(11/2) + 1693450240 z^6))










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