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19 April 2024

» arxiv » math-ph/0505070

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Green's function for a Schroedinger operator and some related summation formulas
Attila B. von Keviczky ; Nasser Saad ; Richard L. Hall ;
Date:	26 May 2005
Journal:	J. Math. Phys. 46, 073512 (2005)
Subject:	Mathematical Physics \| math-ph math.MP
Abstract:	Summation formulas are obtained for products of associated Lagurre polynomials by means of the Green’s function K for the Hamiltonian H = -{d^2over 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.
Source:	arXiv, math-ph/0505070
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