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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=1, b=n, c=p





http://functions.wolfram.com/07.23.03.0176.01









  


  








Input Form





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