2012Unpublished venueRequires access

Convergence and Summation of Arithmetical Series and Geometric Series Product Series

Huiping Shi

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Abstract

在级数理论中,一般来说,判断级数的敛散性是比较困难的,有时尽管能判断其收敛,但要求其和却是十分困难的。文中根据等差级数和等比级数的特点,给出了一类基于等差级数和等比级数乘积项的无穷级数的判敛与求和方法。

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在级数理论中,一般来说,判断级数的敛散性是比较困难的,有时尽管能判断其收敛,但要求其和却是十分困难的。文中根据等差级数和等比级数的特点,给出了一类基于等差级数和等比级数乘积项的无穷级数的判敛与求和方法。

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Available abstract

在级数理论中,一般来说,判断级数的敛散性是比较困难的,有时尽管能判断其收敛,但要求其和却是十分困难的。文中根据等差级数和等比级数的特点,给出了一类基于等差级数和等比级数乘积项的无穷级数的判敛与求和方法。

Key concepts: Alternating series, Geometric series, Series (stratigraphy), Divergent series, Arithmetic function, Mathematics, Euler summation, Function series

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