Application of the method of Bonan-Clark to the generalized Hermite polynomials

2011/01/26 by López, Jesús A. Álvarez, Calaza, Manuel
#33C45 #34L05 #41A10 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1101.5022

Abstract

It is shown that the method of Bonan-Clark can be used to prove asymptotic estimates for the generalized Hermite polynomials, showing also that these estimates are optimal.

Related

• Asymptotic analysis of generalized Hermite polynomials
• Asymptotics for a generalization of Hermite polynomials
• Asymptotic properties of biorthogonal polynomials systems related to Hermite and Laguerre polynomials
• Generalized Hermite polynomials
• Asymptotic analysis of the Askey-scheme II: from Charlier to Hermite