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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=45/8





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









  


  










Input Form





Hypergeometric2F1[-(39/8), 45/8, 7/2, z] == (1/(11947740189 z^(5/2))) (32 ((1 + Sqrt[z])^(11/4) (34224 - 94116 Sqrt[z] + 702305 z - 1725460 z^(3/2) + 16940880 z^2 + 143821568 z^(5/2) - 689151232 z^3 + 76200960 z^(7/2) + 2497003520 z^4 - 2458255360 z^(9/2) - 1503068160 z^5 + 3013345280 z^(11/2) - 1095761920 z^6) + (1 - Sqrt[z])^(11/4) (-34224 - 94116 Sqrt[z] - 702305 z - 1725460 z^(3/2) - 16940880 z^2 + 143821568 z^(5/2) + 689151232 z^3 + 76200960 z^(7/2) - 2497003520 z^4 - 2458255360 z^(9/2) + 1503068160 z^5 + 3013345280 z^(11/2) + 1095761920 z^6)))










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