On the solutions of second order difference equations with variable coefficients

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dc.contributor.authorShynarbekb N.
dc.contributor.authorShynarbekb N.
dc.contributor.authorOrynbassar A.
dc.date.accessioned2025-08-13T10:35:38Z
dc.date.available2025-08-13T10:35:38Z
dc.date.issued2024
dc.description.abstractIn this article, we explore solutions to second-order linear difference equations featuring variable coefficients. By imposing mild conditions, we present closed-form solutions through the utilization of finite continued fraction representations. The proof of our results relies on elementary techniques, specifically involving factoring a quadratic shift operator. As a consequential application, we unveil two novel generalized continued fraction formulas for the mathematical constant π 2 .
dc.identifier.citationShynarbekb N , Shynarbekb N. , Orynbassar A , On the solutions of second order difference equations with variable coefficients / Mathematics and Science Education / 2024
dc.identifier.urihttps://repository.sdu.edu.kz/handle/123456789/1880
dc.language.isoen
dc.publisherfaculty of engineering and natural sciences
dc.subjectDifference equations
dc.subjectcontinued fraction
dc.subjectnon-homogeneous equations
dc.titleOn the solutions of second order difference equations with variable coefficients
dc.typeArticle

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