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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=47/8





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









  


  










Input Form





Hypergeometric2F1[43/8, 47/8, -(13/4), z] == (1/(58032 2^(1/4) (-1 + z)^14)) ((1 + Sqrt[1 - z])^(1/4) (-4 (-7254 + 171585 z - 2322768 z^2 + 29155035 z^3 + 1806343178 z^4 + 5568513399 z^5 + 4415296660 z^6 + 974516941 z^7 + 42903464 z^8) + (1/Sqrt[1 - z]) (29016 - 700848 z + 9630615 z^2 - 121181697 z^3 + 15544070099 z^4 + 72201665051 z^5 + 84667158885 z^6 + 30199651965 z^7 + 2821579673 z^8 + 31221081 z^9)))










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