Browsing by Author "Shynarbekb N."

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    On the solutions of second order difference equations with variable coefficients
    (faculty of engineering and natural sciences, 2024) Shynarbekb N.; Shynarbekb N.; Orynbassar A.
    In 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 .