Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2020; 57(5): 1287-1298

Online first article March 5, 2020      Printed September 1, 2020

https://doi.org/10.4134/JKMS.j190635

Copyright © The Korean Mathematical Society.

Approximation by holomorphic functions of several complex variables

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

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