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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=3/8, b>=a > For fixed z and a=3/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[3/8, 47/8, -(11/2), -z] == (1/(135168 (1 + z)^(91/8))) ((135168 + 1553664 z + 8228192 z^2 + 26733145 z^3 + 60360077 z^4 + 105302886 z^5 + 201267066 z^6 + 76930869 z^7 + 30946633 z^8 + 9132476 z^9 + 1684480 z^10 + 144384 z^11) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (101376 + 1150464 z + 6006756 z^2 + 19210729 z^3 + 42652109 z^4 + 73314826 z^5 - 54653762 z^6 - 22277107 z^7 - 6671039 z^8 - 1247568 z^9 - 108288 z^10) 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