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Factorization method and general second order linear difference equation (1709.07496v1)
Published 21 Sep 2017 in math-ph and math.MP
Abstract: This paper addresses an investigation on a factorization method for difference equations. It is proved that some classes of second order linear difference operators, acting in Hilbert spaces, can be factorized using a pair of mutually adjoint first order difference operators. These classes encompass equations of hypergeometic type describing classical orthogonal polynomials of a discrete variable.
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