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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=27/8, b>=a > For fixed z and a=27/8, b=31/8





http://functions.wolfram.com/07.23.03.ca9z.01









  


  








Input Form





Hypergeometric2F1[27/8, 31/8, -(9/2), -z] == (1/(1024 (1 + z)^(91/8))) ((1024 + 14336 z + 99436 z^2 + 479457 z^3 + 2068605 z^4 + 14777994 z^5 - 31378906 z^6 + 8544709 z^7 - 208351 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (768 + 10640 z + 73051 z^2 + 349283 z^3 + 1502798 z^4 - 29212490 z^5 + 20794535 z^6 - 2010969 z^7) 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