Abstract
New relations are found between the spheroidal and spherical wave functions, as well as between the spheroidal functions related to different spheroidal coordinate systems. The systems must have a common origin of coordinates and a common symmetry axis of coordinate surfaces. The applicability ranges of the relations obtained are discussed. Numerical test calculations have demonstrated a high efficiency of the relations, specifically those for wave functions including the radial functions of the first kind. As a particular case, relations are considered between prolate and oblate spheroidal wave functions including radial functions of the first and second kinds. These relations are necessary for solving the light scattering problem for nonconfocal layered spheroidal particles. Bibliography: 15 titles.
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 callDisclaimer: 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.
