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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=-37/8





http://functions.wolfram.com/07.23.03.b8ng.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(37/8), -(9/2), -z] == (1/(64512 (1 + z)^(7/8))) ((64512 + 297472 z + 503988 z^2 + 323113 z^3 - 52997 z^4 - 160293 z^5 - 97643 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (112896 + 598192 z + 1288385 z^2 + 1426635 z^3 + 838243 z^4 + 257129 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