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In this paper we propose a new formula to divide power series. We develop two versions of the formula: a recursive and a non-recursive one, the latter aiming to reduce… Click to show full abstract
In this paper we propose a new formula to divide power series. We develop two versions of the formula: a recursive and a non-recursive one, the latter aiming to reduce the computational cost for high-order series truncation. To use the non-recursive formula we define certain fundamental sets of summation indexes. Additional non-trivial information about effects of repetition of the indexes are needed and contabilized within a coefficient 𝛾 in the formula, we explain how to calculate the coefficient 𝛾 for each summation index by constructing appropriate mappings between the fundamental sets of indexes previous defined.
Journal Title: Anais da Academia Brasileira de Ciencias
Year Published: 2022
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