部分分式方法与有限三角和的计算
Partial Fraction Decompositions and to Trigonometric Sum Identities

作者: 王欣 :海军大连舰艇学院基础部,大连;

关键词: 部分分式三角函数和组合恒等式Partial Fraction Trigonometric Sum Combinatorial Identities

摘要: 本文利用部分分式方法,证明了一类含有参变量的有限三角函数求和公式,从而推广了Chu和Marini(1999)的相关结论。

Abstract: By partial fraction decomposition method, we prove a general summation formula on trigonometric sum, which contains several interesting trigonometric identities as special cases.

文章引用: 王欣 (2011) 部分分式方法与有限三角和的计算。 理论数学, 1, 97-98. doi: 10.12677/pm.2011.12020

参考文献

[1] W. Chu, A. Marini. Partial fractions and trigonometric iden-tities. Advanced in Applied Mathematics, 1999, 23(2): 115-175.

[2] W. Chu. Partial fraction decompositions and trigonometric sum identities. Proceedings of the American Mathematical Society, 2008, 136(1): 229-237.

[3] R. Kress. Numerical Analysis: Graduate Texts in Mathematics (GTM181). Berlin-Heidelberg: Springer-Verlag, 1998.

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