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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=-39/8, b>=a > For fixed z and a=-39/8, b=13/8





http://functions.wolfram.com/07.23.03.ba8f.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 13/8, 9/2, z] == (1/(5435418483 z^(7/2))) (128 ((1 + Sqrt[z])^(31/4) (593216 - 4597424 Sqrt[z] + 16387592 z - 36492053 z^(3/2) + 57356572 z^2 - 64363936 z^(5/2) + 49830144 z^3 - 25057536 z^(7/2) + 7332864 z^4 - 946176 z^(9/2)) - (1 - Sqrt[z])^(31/4) (593216 + 4597424 Sqrt[z] + 16387592 z + 36492053 z^(3/2) + 57356572 z^2 + 64363936 z^(5/2) + 49830144 z^3 + 25057536 z^(7/2) + 7332864 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