Universal Taylor series on products of planar domains
نویسندگان
چکیده
Using a recent Mergelyan type theorem for products of planar compact sets, we establish generic existence universal Taylor series on simply connected domains \({\varOmega }_i\), \(i=1,\ldots ,d\). The approximation is realized by partial sums the development function sets \(K_i\), ,d\) such that \({\mathbb {C}}-K_i\) and at least one \(i_0\) set \(K_{i_0}\) disjoint from }_{i_0}\).
منابع مشابه
Universal Taylor series
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ژورنال
عنوان ژورنال: Complex analysis and its synergies
سال: 2021
ISSN: ['2197-120X', '2524-7581']
DOI: https://doi.org/10.1007/s40627-021-00073-0