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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=-15/8, b>=a > For fixed z and a=-15/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(15/8), 37/8, 9/2, z] == (1/(30492891 z^(7/2))) (128 ((1 + Sqrt[z])^(7/4) (320 - 560 Sqrt[z] + 1544 z - 2317 z^(3/2) + 5404 z^2 - 7840 z^(5/2) + 26880 z^3 + 77568 z^(7/2) - 236544 z^4 + 135168 z^(9/2)) + (1 - Sqrt[z])^(7/4) (-320 - 560 Sqrt[z] - 1544 z - 2317 z^(3/2) - 5404 z^2 - 7840 z^(5/2) - 26880 z^3 + 77568 z^(7/2) + 236544 z^4 + 135168 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