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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/07.24.03.0166.01









  


  








Input Form





Hypergeometric2F1Regularized[1, n, m, z] == (Pochhammer[1 - m, n]/((n - 1)! (m - 1)!)) ((-1)^m z^(1 - m) (1 - z)^(m - n - 1) Log[1 - z] + (-z)^(1 - n) Sum[(Pochhammer[n - m + 1, k]/k!) Sum[z^(j - k - 1)/j, {j, 1, n + k - 1}], {k, 0, m - n - 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