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Trudy Petrozavodskogo Gosudarstvennogo Universiteta. Seriya Matematika, 2010, Issue 17, Pages 61–66
(Mi pa27)
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The generalized Koebe function
I. Naraniecka, J. Szynal, A. Tatarczak Maria Curie-Sklodowska University, Lublin
Abstract:
We observe that the extremal function for $|a_{3}|$ within the class $U'_{\alpha}$ (see Starkov [1]) has as well the property that max $|A_{4}|>4.15$, if $\alpha=2$. The problem is equivalent to the global estimate for Meixner-Pollaczek polynomials $P^{1}_{3}(x;\theta)$.
Citation:
I. Naraniecka, J. Szynal, A. Tatarczak, “The generalized Koebe function”, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2010, no. 17, 61–66
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https://www.mathnet.ru/eng/pa27 https://www.mathnet.ru/eng/pa/y2010/i17/p61
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Abstract page: | 85 | Full-text PDF : | 47 | References: | 13 |
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