Skip to Main Content

Transactions of the Moscow Mathematical Society

This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.

ISSN 1547-738X (online) ISSN 0077-1554 (print)

The 2020 MCQ for Transactions of the Moscow Mathematical Society is 0.74.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Asymptotic expansions for polynomials orthogonal with respect to a complex non-constant weight function
HTML articles powered by AMS MathViewer

by A. Aptekarev and R. Khabibullin
Translated by: Michael Grinfeld
Trans. Moscow Math. Soc. 2007, 1-37
DOI: https://doi.org/10.1090/S0077-1554-07-00167-7
Published electronically: November 15, 2007

Abstract:

We consider a sequence of polynomials that are orthogonal with respect to a complex analytic weight function which depends on the index $n$ of the polynomial. For such polynomials we obtain an asymptotic expansion in $1/n$. As an example, we present the asymptotic expansion for Laguerre polynomials with a weight that depends on the index of the polynomial.
References
Similar Articles
  • Retrieve articles in Transactions of the Moscow Mathematical Society with MSC (2000): 42C05
  • Retrieve articles in all journals with MSC (2000): 42C05
Bibliographic Information
  • A. Aptekarev
  • Affiliation: The M. V. Keldysh Applied Mathematics Institute, Russian Academy of Sciences, Miusskaya Sq. 4, Moscow 125047, Russia
  • MR Author ID: 192572
  • Email: aptekaa@keldysh.ru
  • R. Khabibullin
  • Affiliation: The M. V. Keldysh Applied Mathematics Institute, Russian Academy of Sciences, Miusskaya Sq. 4, Moscow 125047, Russia
  • Published electronically: November 15, 2007
  • Additional Notes: This work has been supported by the Russian Fund for Fundamental Research (grant No. 05–01–00522), the Support of Leading Scientific Institutions in the RF Programme (grant No. NSh-1551.2003.1), The Mathematical Sciences Department of the Russian Academy of Sciences (programme no. 1) and the INTAS fund (grant No. 03-516637).
  • © Copyright 2007 American Mathematical Society
  • Journal: Trans. Moscow Math. Soc. 2007, 1-37
  • MSC (2000): Primary 42C05
  • DOI: https://doi.org/10.1090/S0077-1554-07-00167-7
  • MathSciNet review: 2429265