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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=11/8, b>=a > For fixed z and a=11/8, b=31/8





http://functions.wolfram.com/07.23.03.c3jv.01









  


  








Input Form





Hypergeometric2F1[11/8, 31/8, -(7/2), -z] == (1/(8960 (1 + z)^(67/8))) ((8960 + 86160 z + 399387 z^2 + 1310460 z^3 + 5593602 z^4 - 3099876 z^5 - 260741 z^6 - 19344 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (1680 + 15910 z + 72621 z^2 + 235626 z^3 - 1643984 z^4 + 48360 z^5 + 3627 z^6) 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