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Search: MSC category 30E10 ( Approximation in the complex domain )

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1. CMB 2007 (vol 50 pp. 123)

Nikolov, Nikolai; Pflug, Peter
Simultaneous Approximation and Interpolation on Arakelian Sets
We extend results of P.~M. Gauthier, W. Hengartner and A.~A. Nersesyan on simultaneous approximation and interpolation on Arakelian sets.

Keywords:Arakelian's theorem,, Arakelian sets

2. CMB 2001 (vol 44 pp. 420)

Gauthier, P. M.; Pouryayevali, M. R.
Approximation by Meromorphic Functions With Mittag-Leffler Type Constraints
Functions defined on closed sets are simultaneously approximated and interpolated by meromorphic functions with prescribed poles and zeros outside the set of approximation.

Categories:30D30, 30E10, 30E15

3. CMB 1998 (vol 41 pp. 473)

Müller, Jürgen; Wengenroth, Jochen
Separating singularities of holomorphic functions
We present a short proof for a classical result on separating singularities of holomorphic functions. The proof is based on the open mapping theorem and the fusion lemma of Roth, which is a basic tool in complex approximation theory. The same method yields similar separation results for other classes of functions.

Categories:30E99, 30E10

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