q-Extension of the Euler formula and trigonometric functions

被引：46

作者：

Kim, T. ^{[1
]}

机构：

[1] Kyungpook Natl Univ, EECS, Taegu 702701, South Korea

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2007年 / 14卷 / 03期

关键词：

D O I：

10.1134/S1061920807030041

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we introduce a Daehee constant, the so-called q-extension of the Napier constant, and consider the Daehee formula associated with the q-extensions of trigonometric functions. That is, we derive the q-extensions of sine and cosine functions from our Daehee formula. Finally, we present the q-calculus related to the q-extensions of sine and cosine functions.

引用

页码：275 / 278

页数：4

共 7 条

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[7] q-Dedekind type sums related to q-zeta function and basic L-series
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[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 318 (01) : 333 - 351

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