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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/07.24.03.0167.01









  


  










Input Form





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





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