The Origin and Mathematical Characteristics of the Super-Universal Associated-Legendre Polynomials

We study the mathematical characteristics of the super-universal associated-Legendre polynomials arising from a kind of double ring-shaped potentials and obtain their polar angular wave functions with certain parity. We find that there exists the even or odd parity for the polar angular wave functio...

Full description

Saved in:
Bibliographic Details
Published in:理论物理通讯：英文版 2014 (9), p.331-337
Main Author: 陈昌远 尤源 陆法林 孙东升 董世海
Format: Article
Language:English
Subjects:
associated
double
functions
hypergeometric
Jacobi
Legendre
parity
polynomials
potential
ring-shaped
super-universal
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study the mathematical characteristics of the super-universal associated-Legendre polynomials arising from a kind of double ring-shaped potentials and obtain their polar angular wave functions with certain parity. We find that there exists the even or odd parity for the polar angular wave functions when the parameter η is taken to be positive integer, while there exist both even and odd parities when η is taken as positive non-integer real values. The relations among the super-universal associated-Legendre polynomials, the hypergeometric polynomials, and the Jacobi polynomials are also established.
ISSN:0253-6102