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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=-19/8, b>=a > For fixed z and a=-19/8, b=41/8





http://functions.wolfram.com/07.23.03.bn2d.01









  


  








Input Form





Hypergeometric2F1[-(19/8), 41/8, -(7/4), z] == (21420 (1 + Sqrt[1 - z]) + 765 (67 + 81 Sqrt[1 - z]) z + 5610 (59 + 65 Sqrt[1 - z]) z^2 - 5 (1664077 + 591143 Sqrt[1 - z]) z^3 + 112 (230677 + 49338 Sqrt[1 - z]) z^4 - 8064 (4109 + 514 Sqrt[1 - z]) z^5 + 43008 (457 + 26 Sqrt[1 - z]) z^6 - 4472832 z^7)/ (21420 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (1 - z)^(9/2))








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