Developing a Series Solution Method of -Difference Equations | Zendy

HsuanKu Liu | Zendy

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Developing a Series Solution Method of -Difference Equations

Author(s) -

HsuanKu Liu

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/743973

Subject(s) - mathematics , series (stratigraphy) , hermite polynomials , differential equation , taylor series , mathematical analysis , homogeneous , linear differential equation , paleontology , combinatorics , biology

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

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