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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=27/8





http://functions.wolfram.com/07.23.03.b9b5.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 27/8, 7/2, -z] == -((64 (Sqrt[z] (292740 - 1292935 z - 77585109 z^2 - 226755285 z^3 - 100125739 z^4 + 408433312 z^5 + 675478272 z^6 + 407400448 z^7 + 89456640 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] - (167280 - 853825 z + 9733605 z^2 + 257572077 z^3 + 1048042247 z^4 + 1876972272 z^5 + 1739507840 z^6 + 820578304 z^7 + 156549120 z^8) Sin[(7 ArcTan[Sqrt[z]])/4]))/(5997916561 z^(5/2) (1 + z)^(7/8)))








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