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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.bkol.01









  


  








Input Form





Hypergeometric2F1[-(23/8), 45/8, -(7/2), -z] == (1/(1922816 (1 + z)^(49/8))) ((-(-1922816 - 2832720 z + 2215745 z^2 - 4617119 z^3 + 31176015 z^4 + 214283711 z^5 + 419261280 z^6 + 388143360 z^7 + 177475584 z^8 + 32440320 z^9)) Cos[ArcTan[Sqrt[z]]/4] + 2 Sqrt[z] (240352 + 278980 z - 344433 z^2 + 697450 z^3 + 16751095 z^4 + 40728168 z^5 + 42313920 z^6 + 20917248 z^7 + 4055040 z^8) 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