Published April 25, 2003 | Version v1
Journal article

Riemann-Hilbert problem for bi-orthogonal polynomials

  • 1. St Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, Fontanka 27, St Petersburg, 191011 (Russian Federation)

Description

The 3 x 3 matrix Riemann-Hilbert problem for bi-orthogonal polynomials with the third-degree polynomial potential functions is explicitly constructed. The developed approach can be extended to bi-orthogonal polynomials with arbitrary polynomial potentials

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/36/4629/a31612.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
36
Journal Issue
16
Journal Page Range
p. 4629-4640
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
34042127
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
HILBERT TRANSFORMATION; MATRICES; ORTHOGONAL TRANSFORMATIONS; POLYNOMIALS; POTENTIALS; RIEMANN FUNCTION
Descriptors DEC
FUNCTIONS; INTEGRAL TRANSFORMATIONS; TRANSFORMATIONS