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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=-43/8, b>=a > For fixed z and a=-43/8, b=-23/8





http://functions.wolfram.com/07.23.03.b7ib.01









  


  










Input Form





Hypergeometric2F1[-(43/8), -(23/8), 13/4, z] == (4 2^(1/4) (2 (1973055 - 61559316 z + 13190252081 z^2 + 72638980538 z^3 + 80654531361 z^4 + 18513172824 z^5 - 13065265 z^6 + 480930 z^7) + (1/Sqrt[1 - z]) (-3946110 + 125091687 z + 12849292972 z^2 + 32616535781 z^3 - 14698730542 z^4 - 27889244463 z^5 - 3102319120 z^6 + 107167235 z^7 - 3847440 z^8)))/(157163452745 (1 + Sqrt[1 - z])^(1/4) z^2)










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