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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.bkpm.01









  


  










Input Form





Hypergeometric2F1[-(23/8), 45/8, 9/2, -z] == (256 (Sqrt[z] (-1840 + 10373 z - 58213 z^2 + 25659104 z^3 + 97746176 z^4 + 118902784 z^5 + 46858240 z^6) Cos[ArcTan[Sqrt[z]]/4] - 2 (-3680 + 19596 z - 109641 z^2 + 1331976 z^3 + 8626112 z^4 + 13032448 z^5 + 5857280 z^6) Sin[ArcTan[Sqrt[z]]/4]))/ (6393342813 z^(7/2) (1 + z)^(1/8))










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