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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=5/8





http://functions.wolfram.com/07.23.03.b53n.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 5/8, 9/2, z] == (1/(81531277245 z^(7/2))) (128 ((1 + Sqrt[z])^(39/4) (-1212224 + 11819184 Sqrt[z] - 50458824 z + 121392869 z^(3/2) - 176605884 z^2 + 165468576 z^(5/2) - 101826816 z^3 + 40110336 z^(7/2) - 9225216 z^4 + 946176 z^(9/2)) + (1 - Sqrt[z])^(39/4) (1212224 + 11819184 Sqrt[z] + 50458824 z + 121392869 z^(3/2) + 176605884 z^2 + 165468576 z^(5/2) + 101826816 z^3 + 40110336 z^(7/2) + 9225216 z^4 + 946176 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