Multiple orthogonal polynomials
Copyright policy )Multiple orthogonal polynomials
This is a review of the advances in the theory of simultaneous Padé approximants for the past five years. It covers new results in the classification of what appear to be the semiclassical multiple orthogonal polynomials, new applications to number theory, connections with the spectral theory of non-symmetric operators and orthogonal polynomials with respect to varying measures, and asymptotic properties of Hermite-Padé orthogonal polynomials.
- Department of Mathematical Sciences Russian Federation
- Russian Academy of Sciences Russian Federation
- Keldysh Institute of Applied Mathematics Russian Federation
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Computational Mathematics, Applied Mathematics, asymptotics of orthogonal polynomials, simultaneous Padé approximants, Multiple orthogonality, Hermite-Padé approximants, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, multiple orthogonal polynomials
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Computational Mathematics, Applied Mathematics, asymptotics of orthogonal polynomials, simultaneous Padé approximants, Multiple orthogonality, Hermite-Padé approximants, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, multiple orthogonal polynomials
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