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.References
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Additional Information
- R. Korhonen
- Affiliation: Department of Physics and Mathematics, University of Eastern Finland, Joensuu Campus, P. O. Box 111, FI-80101 Joensuu, Finland
- MR Author ID: 702144
- Email: risto.korhonen@uef.fi
- Received by editor(s): March 9, 2010
- Published electronically: April 13, 2011
- Additional Notes: The research reported in this paper was supported in part by the Academy of Finland grants No. 118314 and No. 134792 and the European Science Foundation RNP HCAA
- Communicated by: Ken Ono
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 3219-3229
- MSC (2010): Primary 39A06; Secondary 30D35, 39A10, 39A12
- DOI: https://doi.org/10.1090/S0002-9939-2011-11081-5
- MathSciNet review: 2811278