Abstract
A new method is given for evaluating the angular wave functions of a triaxial ellipsoid, that arise when the variables are separated in the three-dimensional Helmholtz equation in an ellipsoidal system of coordinates, and which are the eigenfunctions of the discrete spectrum of two-parameter singular selfadjoint boundary-value problems. The method is fairly universal, and enables the Lamé angular wave functions to be evaluated over a wide range of variation of the parameters of the problem. The scope for using a similar approach for solving more general multiparameter boundary-value problems for systems of ordinary differential equations is discussed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: USSR Computational Mathematics and Mathematical Physics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
