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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=19/8, b>=a > For fixed z and a=19/8, b=31/8





http://functions.wolfram.com/07.23.03.c7ax.01









  


  








Input Form





Hypergeometric2F1[19/8, 31/8, -(11/2), -z] == (1/(45056 (1 + z)^(91/8))) ((45056 + 575232 z + 3497760 z^2 + 13745171 z^3 + 41035863 z^4 + 112524522 z^5 + 508712974 z^6 - 541466985 z^7 + 44378763 z^8 + 833404 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (33792 + 426496 z + 2562252 z^2 + 9948939 z^3 + 29405255 z^4 + 80401134 z^5 - 727892838 z^6 + 224165911 z^7 - 625053 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