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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=-37/8, b>=a > For fixed z and a=-37/8, b=39/8





http://functions.wolfram.com/07.23.03.bc73.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 39/8, -(1/2), -z] == (1/(242420 (1 + z)^(3/8))) (-4 (-60605 + 2727225 z + 89310144 z^2 + 483042560 z^3 + 857505792 z^4 + 477954048 z^5) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (181815 + 156326368 z + 1152383232 z^2 + 2363412480 z^3 + 1433862144 z^4) Sin[(3 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