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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/07.23.03.0181.01









  


  








Input Form





Hypergeometric2F1[-n, 1, -m, z] == ((m + 1)/(n + 1)) Sum[(Pochhammer[n - m, k]/Pochhammer[n + 2, k]) (1 - z)^(-k - 1), {k, 0, m - n}] + (((-1)^n n!)/Pochhammer[-m, n]) z^(m + 1) (z - 1)^(n - m - 1) /; Element[m, Integers] && m > 0 && Element[n, Integers] && n > 0 && n < m








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