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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=29/8





http://functions.wolfram.com/07.23.03.b5hd.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 29/8, 5/2, z] == (1/(946465905 z^(3/2))) (8 ((1 + Sqrt[z])^(19/4) (134044 - 636709 Sqrt[z] + 6031980 z + 35078560 z^(3/2) - 299326720 z^2 + 558421248 z^(5/2) + 118193152 z^3 - 1596559360 z^(7/2) + 2097807360 z^4 - 1164247040 z^(9/2) + 245104640 z^5) - (1 - Sqrt[z])^(19/4) (134044 + 636709 Sqrt[z] + 6031980 z - 35078560 z^(3/2) - 299326720 z^2 - 558421248 z^(5/2) + 118193152 z^3 + 1596559360 z^(7/2) + 2097807360 z^4 + 1164247040 z^(9/2) + 245104640 z^5)))










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