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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=43/8, b>=a > For fixed z and a=43/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[43/8, 47/8, -(7/2), -z] == (1/(1792 (1 + z)^(115/8))) ((1792 + 41424 z + 534975 z^2 + 5985707 z^3 + 114705591 z^4 - 928771701 z^5 + 1402381253 z^6 - 591999975 z^7 + 62838981 z^8 - 770847 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (672 + 15436 z + 198387 z^2 + 2216214 z^3 - 216262475 z^4 + 674039184 z^5 - 533375283 z^6 + 117150446 z^7 - 5129013 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