An asymptotic formula for polynomials orthonormal with respect to a varying weight. II

Journal Article · Tue Sep 30 00:00:00 EDT 2014 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2014V205N09ABEH004420· OSTI ID:22364895

Komlov, A V; Suetin, S P ^[1]

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1. Steklov Mathematical Institute of Russian Academy of Sciences (Russian Federation)

This paper gives a proof of the theorem announced by the authors in the preceding paper with the same title. The theorem states that asymptotically the behaviour of the polynomials which are orthonormal with respect to the varying weight e{sup −2nQ(x)}p{sub g}(x)/√(∏{sub j=1}{sup 2p}(x−e{sub j})) coincides with the asymptotic behaviour of the Nuttall psi-function, which solves a special boundary-value problem on the relevant hyperelliptic Riemann surface of genus g=p−1. Here e{sub 1}

• OSTI ID: 22364895
• Journal Information: Sbornik. Mathematics, Vol. 205, Issue 9; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ASYMPTOTIC SOLUTIONS
BOUNDARY-VALUE PROBLEMS
CALCULATION METHODS
POLYNOMIALS
RIEMANN SHEET