A note on monotonicity of zeros of generalized Hermite–Sobolev-type orthogonal polynomials

DOI10.1080/10652461003714718zbMath1205.42026OpenAlexW2034336173MaRDI QIDQ3066371

Francisco Marcellán, Fernando Rodrigo Rafaeli

Publication date: 10 January 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652461003714718

zbMATH Keywords

monotonicityasymptoticszerosgeneralized Hermite polynomialsSobolev-type orthogonal polynomialsMehler-Heine-type formulas

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (2)

Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case ⋮ On the properties of zeros of Bessel series in the real line

Cites Work

• Unnamed Item
• Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports
• Asymptotic properties of generalized Laguerre orthogonal polynomials.
• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros
• Estimates for jacobi—sobolev type orthogonal polynomials

This page was built for publication: A note on monotonicity of zeros of generalized Hermite–Sobolev-type orthogonal polynomials