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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.cdaf.01









  


  










Input Form





Hypergeometric2F1[39/8, 43/8, -(9/4), z] == (-4 (-64170 + 1529385 z - 24679782 z^2 + 959159685 z^3 + 5782938098 z^4 + 7004422803 z^5 + 2142855070 z^6 + 123574335 z^7) + (1/Sqrt[1 - z]) (256680 - 6245880 z + 101745813 z^2 - 3885249654 z^3 - 26514555253 z^4 - 38068172044 z^5 - 15352878405 z^6 - 1536096550 z^7 - 17393635 z^8))/(256680 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + z)^12)










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