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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=-21/8, b>=a > For fixed z and a=-21/8, b=39/8





http://functions.wolfram.com/07.23.03.bm1f.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 39/8, -(3/2), -z] == (1/(11408 (1 + z)^(27/8))) ((11408 - 62031 z + 665229 z^2 + 9631888 z^3 + 23960448 z^4 + 22099968 z^5 + 7028736 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] - Sqrt[z] (-8556 + 47771 z + 5359107 z^2 + 15841440 z^3 + 15806208 z^4 + 5271552 z^5) 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