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Journal of Applied Mathematics
Volume 2013, Article ID 743973, 4 pages
Research Article

Developing a Series Solution Method of -Difference Equations

Department of Mathematics and Information Education, National Taipei University of Education, Taiwan

Received 16 November 2012; Accepted 14 April 2013

Academic Editor: Filomena Cianciaruso

Copyright © 2013 Hsuan-Ku Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The series solution is widely applied to differential equations on but is not found in -differential equations. Applying the Taylor and multiplication rule of two generalized polynomials, we develop a series solution of linear homogeneous -difference equations. As an example, the series solution method is used to find a series solution of the second-order -difference equation of Hermite’s type.