Skip to main content
Article thumbnail
Location of Repository

r

By 

Abstract

line. These are just some basic notes on Bessel functions and their application to finding the eigenfunctions of the Laplacian. 1 Where Bessel Functions Arise Consider the problem of finding the eigenvalues/vectors for the Laplacian in 2 dimensions: We wish to find a pair (u,λ) which solves ∆u = −λu, (1) (since the eigenvalues of ∆ will turn out to be non-positive, we express them as −λ where λ will be non-negative). Let’s expressu = u(r,θ) as a function in polar coordinates and recall that in polar coordinates the Laplacian can be expressed a

Year: 2012
OAI identifier: oai:CiteSeerX.psu:10.1.1.363.1338
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.math.missouri.edu/~... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.