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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.b9a1.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 27/8, -(11/2), -z] == (1/(856064 (1 + z)^(23/8))) ((856064 - 1541888 z + 1527904 z^2 - 1122539 z^3 + 194579 z^4 + 1919456 z^5 - 10861312 z^6 + 5165056 z^7 + 12779520 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] - 2 Sqrt[z] (-749056 + 834176 z - 731234 z^2 + 436183 z^3 + 172216 z^4 - 1591744 z^5 + 12207104 z^6 + 11182080 z^7) 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