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 Approximation by holomorphic functions of several complex variables J. Korean Math. Soc. 2020 Vol. 57, No. 5, 1287-1298 https://doi.org/10.4134/JKMS.j190635Published online September 1, 2020 Steven G. Krantz, Baili Min One Brookings Drive; Huazhong University of Science and Technology Abstract : Inspired by a classical approximation result of Bagemihl and Seidel on the disc, we provide generalized results on some proper domains in $\CC^n$ about approximation of a continuous function by a holomorphic function in the Mergelyan's style. Keywords : Several complex variables, Mergelyan approximation, star-shaped, starlike mapping MSC numbers : Primary 32A30 Supported by : This work was supported by FRFCU 2018KFYYXJJ045 Downloads: Full-text PDF   Full-text HTML