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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=47/8





http://functions.wolfram.com/07.23.03.bcc6.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 47/8, -(7/2), -z] == (1/(1277696 (1 + z)^(35/8))) ((1277696 - 4688688 z + 16951575 z^2 - 82007834 z^3 + 979227783 z^4 + 16633366992 z^5 + 53954106624 z^6 + 73663856640 z^7 + 46435074048 z^8 + 11176771584 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] - 4 Sqrt[z] (-239568 + 914066 z - 3319728 z^2 + 15894909 z^3 + 2187079125 z^4 + 8518428864 z^5 + 12656869632 z^6 + 8400961536 z^7 + 2095644672 z^8) 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