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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=1/8, b>=a > For fixed z and a=1/8, b=45/8





http://functions.wolfram.com/07.23.03.by5h.01









  


  








Input Form





Hypergeometric2F1[1/8, 45/8, -(19/4), z] == ((1 + Sqrt[1 - z])^(3/4) (25116784 - 250176388 z + 1125545883 z^2 - 3027000599 z^3 + 5472915902 z^4 + 8120931678 z^5 - 4361575721 z^6 + 1590415661 z^7 - 348092304 z^8 + 34497792 z^9 + (1/Sqrt[1 - z]) (25116784 - 262734780 z + 1247494479 z^2 - 3560071291 z^3 + 6860377866 z^4 - 25665035346 z^5 + 15732084755 z^6 - 7612044327 z^7 + 2515455444 z^8 - 503412224 z^9 + 45997056 z^10)))/ (50233568 2^(3/4) (-1 + z)^10)








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