Green's function for a Schroedinger operator and some related summation formulas
数学物理
2009-11-11 v1 math.MP
摘要
Summation formulas are obtained for products of associated Lagurre polynomials by means of the Green's function K for the Hamiltonian H = -{d^2\over dx^2} + x^2 + Ax^{-2}, A > 0. K is constructed by an application of a Mercer type theorem that arises in connection with integral equations. The new approach introduced in this paper may be useful for the construction of wider classes of generating function.
引用
@article{arxiv.math-ph/0505070,
title = {Green's function for a Schroedinger operator and some related summation formulas},
author = {Attila B. von Keviczky and Nasser Saad and Richard L. Hall},
journal= {arXiv preprint arXiv:math-ph/0505070},
year = {2009}
}
备注
14 pages