Extremal values of double and triple trigonometric functions

Extremal values of double and triple trigonometric functions
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二重和三重三角函数的极值

DOI:
10.2206/kyushujm.58.141
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发表时间:
2004
影响因子:
0.4
通讯作者:
M. Wakayama
M. Wakayama
中科院分区:
数学4区
文献类型:
--
作者:
N. Kurokawa;M. Wakayama

文献摘要

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研究了由无穷积定义的二重三角函数和三重三角函数的极值。特别地,我们证明了三重正弦函数的极值与神秘的ζ(3)密切相关。结果还允许我们绘制它们的图形。
We study the extremal values of the double and the triple trigonometric functions defined via the infinite products. In particular, we show that the extremal values of the triple sine function are intimately related to the mysterious value ζ(3). The results also allow us to sketch their graphs.