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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=-23/8, b>=a > For fixed z and a=-23/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 45/8, -(3/2), -z] == (1/(223184 (1 + z)^(33/8))) ((223184 - 1492543 z + 21453562 z^2 + 250666705 z^3 + 744132768 z^4 + 971781888 z^5 + 595685376 z^6 + 140574720 z^7) Cos[ArcTan[Sqrt[z]]/4] - 4 Sqrt[z] (-13949 + 97643 z + 8247034 z^2 + 33126204 z^3 + 50680608 z^4 + 34484736 z^5 + 8785920 z^6) 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