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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.b9ae.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 27/8, -(5/2), -z] == (1/(6080 (1 + z)^(7/8))) ((6080 - 46056 z + 280763 z^2 - 3000480 z^3 - 10144512 z^4 + 9375744 z^5 + 20643840 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] - 7 Sqrt[z] (-1520 + 10469 z - 62928 z^2 + 1292928 z^3 + 5892096 z^4 + 5160960 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