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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=-31/8, b>=a > For fixed z and a=-31/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 45/8, -(5/2), -z] == (1/(68672 (1 + z)^(33/8))) (-4 (-17168 + 79402 z - 446368 z^2 + 6039917 z^3 + 68542653 z^4 + 199902912 z^5 + 257976576 z^6 + 156794880 z^7 + 36765696 z^8) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (17168 - 84767 z + 474266 z^2 + 36405009 z^3 + 142890528 z^4 + 215584512 z^5 + 145305600 z^6 + 36765696 z^7) Sin[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