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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=21/8, b>=a > For fixed z and a=21/8, b=33/8





http://functions.wolfram.com/07.23.03.c855.01









  


  








Input Form





Hypergeometric2F1[21/8, 33/8, -(9/2), -z] == (1/(15360 (1 + z)^(85/8))) (2 (7680 + 94080 z + 564690 z^2 + 2339959 z^3 + 8757270 z^4 + 57667770 z^5 - 66933870 z^6 + 6298215 z^7 + 119966 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (19200 + 238800 z + 1455915 z^2 + 6115825 z^3 + 22998150 z^4 - 170351286 z^5 + 58998735 z^6 - 299915 z^7) Sin[(5 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