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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 3, Pages 597–612
(Mi smj2348)
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This article is cited in 1 scientific paper (total in 1 paper)
Some properties of functions with nonzero order $n$ divided difference
E. G. Kir'yatskiĭ Vilnius Gediminas Technical University, Vilnius, Lithuania
Abstract:
We consider the properties of functions of class $K_n(D)$. This class consists of analytic functions $F(z)$ in a domain $D$ whose nth divided difference does not vanish in $D$. We study some relation of functions of class $K_n(D)$ to Chebyshev systems, consider a few properties of an operator related to a fractional linear transformation of the unit disk, and estimate Taylor series coefficients.
Keywords:
analytic function, univalent function, divided difference, function classes, operator, coefficients.
Received: 13.04.2011 Revised: 17.12.2011
Citation:
E. G. Kir'yatskiǐ, “Some properties of functions with nonzero order $n$ divided difference”, Sibirsk. Mat. Zh., 53:3 (2012), 597–612; Siberian Math. J., 53:3 (2012), 477–489
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https://www.mathnet.ru/eng/smj2348 https://www.mathnet.ru/eng/smj/v53/i3/p597
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Abstract page: | 301 | Full-text PDF : | 73 | References: | 70 | First page: | 2 |
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