Order reduction method for linear difference equations

Korhonen, R.; Ronkainen, O.

doi:10.1090/S0002-9939-2011-11081-5

Order reduction method for linear difference equations
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by R. Korhonen and O. Ronkainen PDF

Proc. Amer. Math. Soc. 139 (2011), 3219-3229 Request permission

Abstract:

An order reduction method for homogeneous linear difference equations, analogous to the standard order reduction of linear differential equations, is introduced, and this method is applied to study the Nevanlinna growth relations between meromorphic coefficients and solutions of linear difference equations.

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