For citation:
Magomedova Z. M. About Asymptotic Polynomials, Orthogonal on Any Grids. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, vol. 11, iss. 3, pp. 32-41. DOI: 10.18500/1816-9791-2011-11-3-1-32-41
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
15.07.2011
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Language:
Russian
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UDC:
517.5
About Asymptotic Polynomials, Orthogonal on Any Grids
Autors:
Magomedova Z. M., Branch of the Russian State University of Tourism and Service in Makhachkala
Abstract:
Asymptotic properties of polynomials orthogonal ln(x), with weight e −xj ∆tj on any infinite set points from semi-axis [0, ∞) are investigated. Namely an asymptotic formula is proved in which asymptotic behaviour of these polynomials as n tends to infinity together with N is closely related to asymptotic behaviour of the polynomials by Lagerra.
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