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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=47/8





http://functions.wolfram.com/07.23.03.c3w6.01









  


  








Input Form





Hypergeometric2F1[11/8, 47/8, -(7/2), -z] == (1/(1792 (1 + z)^(83/8))) ((1792 + 22224 z + 137535 z^2 + 628237 z^3 + 3881886 z^4 - 3881886 z^5 - 628237 z^6 - 137535 z^7 - 22224 z^8 - 1792 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (672 + 8236 z + 50397 z^2 + 228504 z^3 - 2999410 z^4 + 228504 z^5 + 50397 z^6 + 8236 z^7 + 672 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