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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=-3/8, b>=a > For fixed z and a=-3/8, b=33/8





http://functions.wolfram.com/07.23.03.bvy9.01









  


  








Input Form





Hypergeometric2F1[-(3/8), 33/8, 9/2, z] == (1/(181815 z^(7/2))) (128 ((1 + Sqrt[z])^(3/4) (-192 + 144 Sqrt[z] - 312 z + 255 z^(3/2) - 520 z^2 + 432 z^(5/2) - 1344 z^3 + 1792 z^(7/2)) + (192 - 48 Sqrt[z] + 168 z - 57 z^(3/2) + 265 z^2 - 88 z^(5/2) + 912 z^3 + 448 z^(7/2) - 1792 z^4)/(1 - Sqrt[z])^(1/4)))








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