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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.b9b9.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 27/8, 9/2, -z] == -((256 (Sqrt[z] (1951600 + 902615 z - 1854020 z^2 - 61541174 z^3 - 119553044 z^4 + 10752343 z^5 + 257360992 z^6 + 310386944 z^7 + 156176384 z^8 + 29818880 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] - 8 (139400 - 31365 z - 170765 z^2 + 1195355 z^3 + 25063479 z^4 + 80791578 z^5 + 119455966 z^6 + 94187408 z^7 + 38648064 z^8 + 6522880 z^9) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (19707440129 z^(7/2) (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