Developing a Series Solution Method of q‐Difference Equations

Hsuan-Ku Liu

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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

Date: 2013
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https://doi.org/10.1155/2013/743973

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:743973

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