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In the present article, we deal with the so-called overconvergence phenomenon in $\mathbb{C}$ of a slightly modified Post-Widder operator of real variable, that is with the extension of its approximation properties from the real axis in the complex plane. In this sense, error estimates in approximation and a quantitative Voronovskaya-type asymptotic formula are established.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2018-0003}, url = {http://global-sci.org/intro/article_detail/ata/12843.html} }In the present article, we deal with the so-called overconvergence phenomenon in $\mathbb{C}$ of a slightly modified Post-Widder operator of real variable, that is with the extension of its approximation properties from the real axis in the complex plane. In this sense, error estimates in approximation and a quantitative Voronovskaya-type asymptotic formula are established.