Strong asymptotics for Laguerre polynomials with varying weights

DOI10.1016/S0377-0427(98)00147-2zbMath0933.33010MaRDI QIDQ1298552

Christof Bosbach, Wolfgang Gawronski

Publication date: 27 March 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hermite polynomialsLaguerre polynomialsstrong asymptoticsvarying weights

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (8)

Expansions in series of varying Laguerre polynomials and some applications to molecular potentials ⋮ THE ABSOLUTE POSITIVE PARTIAL TRANSPOSE PROPERTY FOR RANDOM INDUCED STATES ⋮ Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters ⋮ High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions ⋮ On asymptotic zero distribution of Laguerre and generalized Bessel polynomials with varying parameters ⋮ A nonlocal transport equation describing roots of polynomials under differentiation ⋮ Asymptotics for Laguerre polynomials with large order and parameters ⋮ A nonlocal transport equation modeling complex roots of polynomials under differentiation

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