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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=-41/8, b>=a > For fixed z and a=-41/8, b=35/8





http://functions.wolfram.com/07.23.03.b9ff.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 35/8, 7/2, z] == (1/(7711607007 z^(5/2))) (32 ((1 - Sqrt[z])^(17/4) (55760 + 236980 Sqrt[z] + 1153535 z + 3554700 z^(3/2) + 18400800 z^2 + 179743488 z^(5/2) + 506298624 z^3 + 228154368 z^(7/2) - 1072680960 z^4 - 1899888640 z^(9/2) - 1231093760 z^5 - 289669120 z^(11/2)) + (1 + Sqrt[z])^(17/4) (-55760 + 236980 Sqrt[z] - 1153535 z + 3554700 z^(3/2) - 18400800 z^2 + 179743488 z^(5/2) - 506298624 z^3 + 228154368 z^(7/2) + 1072680960 z^4 - 1899888640 z^(9/2) + 1231093760 z^5 - 289669120 z^(11/2))))








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