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.
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Original Russian Text Copyright © 2012 Kir’yatskiĭ E. G.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 3, pp. 597–612, May–June, 2012.
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Kir’yatskiĭ, E.G. Some properties of functions with nonzero order n divided difference. Sib Math J 53, 477–489 (2012). https://doi.org/10.1134/S0037446612020280
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DOI: https://doi.org/10.1134/S0037446612020280