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variants of this functions
Hypergeometric1F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1[a,b,z] > Operations > Limit operation





http://functions.wolfram.com/07.20.25.0001.01









  


  










Input Form





Limit[(1/Gamma[b]) Hypergeometric1F1[a, b, z], b -> -n] == (Pochhammer[a, n + 1]/(n + 1)!) z^(n + 1) Hypergeometric1F1[a + n + 1, n + 2, z] /; 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