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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=19/8





http://functions.wolfram.com/07.23.03.b96m.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 19/8, 1/2, -z] == (1/(13949 (1 + z)^(7/8))) ((13949 + 261806 z + 742865 z^2 + 116816 z^3 - 1649280 z^4 - 1910784 z^5 - 638976 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (63617 + 916830 z + 3525133 z^2 + 5665632 z^3 + 4112640 z^4 + 1118208 z^5) Sin[(7 ArcTan[Sqrt[z]])/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