Division of Power Series: Recursive and Non-Recursive Formulas

被引：0
|
作者：
Rodriguez-Bermudez, Panters [1 ]
机构：
[1] Univ Fed Fluminense, Dept Ciencias Exatas, Ave Trabalhadores 420, BR-27255125 Volta Redonda, RJ, Brazil
来源：
ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS | 2022年 / 94卷 / 03期
关键词：
Division of series; non-recursive formula; power series; recursive formula;
D O I：
10.1590/0001-3765202220210897
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.. in the formula, we explain how to calculate the coefficient.. for each summation index by constructing appropriate mappings between the fundamental sets of indexes previous defined.
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页数：11
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