Skip to main content
Journal ArticleOPEN ACCESS

Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit

Applied and Computational Harmonic Analysis (2007) 22(1) 105-123
DOI: 10.1016/j.acha.2006.05.004
50Citations
Citations of this article
23Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

We construct asymptotic formulae for the approximation of certain prolate spheroidal wave functions and of the corresponding eigenvalues. We investigate two regimes: when the ratio c / m decays, and when both c and m grow, but the ratio c / m stays bounded. Both the regions of validity and the accuracies of the obtained expansions are illustrated with numerical examples. © 2006 Elsevier Inc. All rights reserved.

Author supplied keywords

Cite

CITATION STYLE

APA

Rokhlin, V., & Xiao, H. (2007). Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit. Applied and Computational Harmonic Analysis, 22(1), 105–123. https://doi.org/10.1016/j.acha.2006.05.004

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free