Gregory coefficients, also known as Gregory series coefficients, are used in the context of approximation and numerical analysis, particularly related to interpolation and numerical integration. They are named after the mathematician James Gregory, who made significant contributions to the field of mathematics in the 17th century. In many cases, Gregory coefficients are associated with a specific type of polynomial interpolation called the Gregory-Newton interpolation formula. This formula provides a way to construct an interpolating polynomial based on a set of data points.
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