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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=23/8, b>=a > For fixed z and a=23/8, b=27/8





http://functions.wolfram.com/07.23.03.c8pj.01









  


  










Input Form





Hypergeometric2F1[23/8, 27/8, -(9/2), -z] == (1/(1024 (1 + z)^(79/8))) ((1024 + 10752 z + 54604 z^2 + 191763 z^3 + 640332 z^4 + 4427962 z^5 - 3054688 z^6 + 129387 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (1792 + 20048 z + 109263 z^2 + 409860 z^3 + 1397858 z^4 - 5067996 z^5 + 971591 z^6) Sin[(7 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