Interpolation polynomials associated to linear recurrences.

This article, published in the Turkish Journal of Mathematics, explores the topic of interpolation polynomials associated with linear recurrences. The authors investigate the use of polynomial interpolation using basic points given by (t, Gt) for a linear recurrence (Gn). They develop formulas related to finite differences and provide an explicit formula for the interpolation polynomials. The article also includes introductory information on finite differences and properties of recursive sequences. The authors provide examples and demonstrate the application of their approach in obtaining interpolation polynomials. The research was supported by multiple grants. [Extracted from the article]