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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=39/8, b>=a > For fixed z and a=39/8, b=43/8





http://functions.wolfram.com/07.23.03.cd9z.01









  


  










Input Form





Hypergeometric2F1[39/8, 43/8, -(11/2), -z] == (1/(946176 (1 + z)^(119/8))) ((946176 + 17133312 z + 156334752 z^2 + 997894259 z^3 + 5436416167 z^4 + 32445119707 z^5 + 413284070199 z^6 - 1213967051871 z^7 + 687166663757 z^8 - 86864576239 z^9 + 1199201845 z^10) Cos[(7 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (827904 + 15560832 z + 147455406 z^2 + 973872697 z^3 + 5420217712 z^4 + 32075446403 z^5 - 455901784746 z^6 + 546537152063 z^7 - 149812241684 z^8 + 7559999461 z^9) 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