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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=9/8





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









  


  








Input Form





Hypergeometric2F1[-(19/8), 9/8, -(9/2), z] == (1/14336) ((1/(1 - Sqrt[z])^(13/4)) (7168 - 23296 Sqrt[z] + 30464 z - 24752 z^(3/2) + 18020 z^2 - 12155 z^(5/2) + 7208 z^3 - 3536 z^(7/2) + 1088 z^4) + (1/(1 + Sqrt[z])^(13/4)) (7168 + 23296 Sqrt[z] + 30464 z + 24752 z^(3/2) + 18020 z^2 + 12155 z^(5/2) + 7208 z^3 + 3536 z^(7/2) + 1088 z^4))








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