Transactions of the Moscow Mathematical Society

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ISSN 1547-738X(e) ISSN 0077-1554(p)

Asymptotic expansions for polynomials orthogonal with respect to a complex non-constant weight function

Author(s): A. Aptekarev; R. Khabibullin
Translated by: Michael Grinfeld
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 68 (2007).
Journal: Trans. Moscow Math. Soc. 2007, 1-37.
MSC (2000): Primary 42C05
Posted: November 15, 2007
MathSciNet review: 2429265
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: We consider a sequence of polynomials that are orthogonal with respect to a complex analytic weight function which depends on the index of the polynomial. For such polynomials we obtain an asymptotic expansion in . As an example, we present the asymptotic expansion for Laguerre polynomials with a weight that depends on the index of the polynomial.

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