Equioscillatory property of the Laguerre polynomials

DOI10.1016/j.jat.2010.06.004zbMath1210.33017OpenAlexW1983417128MaRDI QIDQ619052

Ilia Krasikov, Alexander Zarkh

Publication date: 21 January 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2010.06.004

zbMATH Keywords

inequalitiesorthogonal polynomialsboundsLaguerre polynomials

Mathematics Subject Classification ID

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

Related Items (7)

A generalization of the Laguerre polynomials ⋮ The extended Laguerre polynomials \(\{A_{q, n}^{(\alpha)}(x)\}\) involving \(_qF_q\), \(q>2\) ⋮ Unnamed Item ⋮ The \(K\) extended Laguerre polynomials involving \(\left\{A^{(\alpha)}_{r, n, k}(x)\right\}{}_rf_r\), \(r > 2\) ⋮ Approximations for the Bessel and Airy functions with an explicit error term ⋮ The Hartree equation with a constant magnetic field: well-posedness theory ⋮ On the maximum value of a confluent hypergeometric function

Cites Work

• Orthogonal polynomials for exponential weights \(x^{2\rho} e^{-2Q(x)}\) on [0,\(d\))
• Inequalities for orthonormal Laguerre polynomials
• On the Erdélyi-Magnus-Nevai conjecture for Jacobi polynomials
• Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
• Orthogonal polynomials for exponential weights \(x^{2\rho} e^{-2Q(x)}\) on \([0,d)\). II.
• An upper bound on Jacobi polynomials
• On a Sturm Liouville periodic boundary values problem
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Orthogonal polynomials for exponential weights
• Lagrange interpolation at Laguerre zeros in some weighted uniform spaces
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