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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Specific values > Specialized values > For fixed z and integer parameters





http://functions.wolfram.com/07.24.03.0173.01









  


  








Input Form





Hypergeometric2F1Regularized[-n, 1, m, z] == ((n! (z - 1)^(m - 2))/((m + n - 1)! z^(m - 1))) (Sum[(Pochhammer[n + 1, k]/k!) (z/(z - 1))^k, {k, 0, m - 2}] - (1 - z)^(n + 1)) /; Element[m, Integers] && m > 0 && 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