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variants of this functions
Hypergeometric2F1Regularized






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > General characteristics > Branch cuts > With respect to z





http://functions.wolfram.com/07.24.04.0020.01









  


  










Input Form





Limit[Hypergeometric2F1Regularized[a, b, c, x + I \[Epsilon]], \[Epsilon] -> Plus[0]] == ((2 I Pi E^(I (a + b - c) Pi))/(Gamma[c - a] Gamma[c - b])) Hypergeometric2F1Regularized[a, b, a + b - c + 1, 1 - x] + E^(2 I (a + b - c) Pi) Hypergeometric2F1Regularized[a, b, c, x] /; x > 1










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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