Zeros of the partial sums of cos(z) and sin(z). III

被引：5

作者：

Varga, Richard S. ^{[2
]}

Carpenter, Amos J. ^{[1
]}

机构：

[1] Butler Univ, Dept Math & Actuarial Sci, Indianapolis, IN 46208 USA

[2] Kent State Univ, Inst Computat Math, Kent, OH 44242 USA

来源：

APPLIED NUMERICAL MATHEMATICS | 2010年 / 60卷 / 04期

关键词：

Partial sums of e(z); cos(z); sin(z); Szego curve;

D O I：

10.1016/j.apnum.2009.08.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give new extensions of results by G. Szego, in 1924, on the interrelationships between the zeros of the partial sums of e(z), and those of the partial sums of cos(z) and sin(z). We also include numerical results and figures which illustrate our new results. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：298 / 313

页数：16

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