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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=-35/8, b>=a > For fixed z and a=-35/8, b=33/8





http://functions.wolfram.com/07.23.03.bd4y.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 33/8, -(5/2), -z] == (1/(5440 (1 + z)^(13/8))) ((5440 - 34680 z + 192525 z^2 - 1999200 z^3 + 7729920 z^4 + 38072320 z^5 + 28114944 z^6) Cos[(5 ArcTan[Sqrt[z]])/4] - Sqrt[z] (-6800 + 42075 z - 232560 z^2 + 18750336 z^3 + 54179840 z^4 + 35143680 z^5) Sin[(5 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