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Developing a Series Solution Method of -Difference Equations

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  • Hsuan-Ku Liu

Abstract

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.

Suggested Citation

  • Hsuan-Ku Liu, 2013. "Developing a Series Solution Method of -Difference Equations," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-4, May.
  • Handle: RePEc:hin:jnljam:743973
    DOI: 10.1155/2013/743973
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