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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=5/8, b>=a > For fixed z and a=5/8, b=41/8





http://functions.wolfram.com/07.23.03.c0d2.01









  


  








Input Form





Hypergeometric2F1[5/8, 41/8, -(11/2), -z] == (1/(405504 (1 + z)^(85/8))) ((405504 + 4227840 z + 20206880 z^2 + 59174535 z^3 + 121858125 z^4 + 205911310 z^5 + 507172050 z^6 + 112826875 z^7 + 30518145 z^8 + 5717040 z^9 + 514304 z^10) Cos[(5 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (253440 + 2689920 z + 13125938 z^2 + 39366135 z^3 + 83171820 z^4 + 143225170 z^5 - 74112010 z^6 - 19745313 z^7 - 3633420 z^8 - 321440 z^9) 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