Article
Asymptotics of Zeros of Relativistic Hermite Polynomials
SIAM Journal on Mathematical Analysis
Document Type
Article
Publication Date
9-1-1997
Keywords
- Hermite polynomials,
- Orthogonal polynomials
Disciplines
Abstract
The relativistic Hermite polynomial (RHP) is a class of orthogonal polynomials associated with varying weights. We study the asymptotics of the zeros of the RHP when both degree $n$ of polynomials and relativistic parameter $N$ approach infinity.
DOI
10.1137/S003614109529642X
Citation Information
Matthew He, K. Pan and Paolo E. Ricci. "Asymptotics of Zeros of Relativistic Hermite Polynomials" SIAM Journal on Mathematical Analysis Vol. 28 Iss. 5 (1997) p. 1248 - 1257 ISSN: 0036-1410 Available at: http://works.bepress.com/matthew-he/13/
AMS subject classifications. 41A, 41C