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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 3, Pages 597–612 (Mi smj2348)  
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
Full-text PDF (330 kB) Citations (1)
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Abstract: We consider the properties of functions of class Kn(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 Kn(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
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 3, Pages 477–489
DOI: https://doi.org/10.1134/S0037446612020280
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
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
Citation in format AMSBIB
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\by E.~G.~Kir'yatski{\v\i}
\paper Some properties of functions with nonzero order~$n$ divided difference
\jour Sibirsk. Mat. Zh.
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\issue 3
\pages 597--612
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\transl
\jour Siberian Math. J.
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\vol 53
\issue 3
\pages 477--489
\crossref{https://doi.org/10.1134/S0037446612020280}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84863212238}
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  • https://www.mathnet.ru/eng/smj2348
  • https://www.mathnet.ru/eng/smj/v53/i3/p597
    • This publication is cited in the following 1 articles:
    1. D. A. Polyakova, “On the Continuous Linear Right Inverse for Convolution Operators in Spaces of Ultradifferentiable Functions”, Math. Notes, 96:4 (2014), 522–537  mathnet  mathnet  crossref  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:81
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