Abstract
An investigation of expansion problems in terms of spherical wave functions from different points of view is given. The possibility of having infinitely many formal series representations for a given function in terms of the associated Legendre functions <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p_{n}^{m}</tex> and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">\sin \theta(dp_{n}^{m}/d\theta</tex> is also pointed out. One of the representations is derived by the use of the orthogonality relation, and the infinitely many others are derived by the use of the recurrence relation.
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.
