@Article{Krantz2026, author = "Krantz, Steven G.", title = "One complex variable versus several complex variables: The Hartogs extension phenomenon in context", journal = "Opuscula Math.", year = "2026", volume = "46", number = "4", pages = "513--520", doi = "https://doi.org/10.7494/OpMath.202607111", url = "https://doi.org/10.7494/OpMath.202607111", abstract = "We explicate the difference between the function theory of one complex variable and the function theory of several complex variables. In particular, we use the inhomogeneous Cauchy-Riemann equations to explain why there is a Hartogs extension phenomenon in several complex variables but not in one complex variable.", keywords = "domain, Hartogs extension phenomenon, Cauchy-Riemann equations", issn = "1232-9274" }