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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > Specialized values > For fixed z and with symbolical integers in parameters > For fixed z and a=-m, b=n, c=p





http://functions.wolfram.com/07.23.03.0229.01









  


  










Input Form





Hypergeometric2F1[-n, 3, 4, z] == (6 - 6 (1 - z)^n - 3 n^2 (1 - z)^(1 + n) z^2 + 6 (1 - z)^n z^3 + 3 n (1 - z)^n z (-2 - z + 3 z^2))/((1 + n) (2 + n) (3 + n) z^3) /; Element[n, Integers] && n >= 0










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)





2001-10-29