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On the best polynomial approximation of entire transcendental functions of generalized order

We prove a Hadamard-type theorem which connects the generalized order of growth $\rho^*_f(\alpha, \beta)$ of entire transcendental function $f$ with coefficients of its expansion into the Faber series. The theorem is an original extension of a certain result by S. K. Balashov to the case of finite...

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Datum:	2008
Hauptverfasser:	Vakarchuk, S. B., Zhir, S. I., Вакарчук, С. Б., Жир, С. И.
Format:	Artikel
Sprache:	Russisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2008
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/3219
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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