Explicit expressions for finite trigonometric sums

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:484

Article

He, Yuan¹ 

[1] Neijiang Normal Univ, Sch Math & Informat Sci, Neijiang 641100, Sichuan, Peoples R China

关键词: Trigonometric sums;    Zeta functions;    Bernoulli polynomials;    Euler polynomials;    Combinatorial identities;   

DOI  :  10.1016/j.jmaa.2019.123702

来源: Elsevier

【 摘 要 】

In this paper, we perform a further investigation for finite trigonometric sums. We establish some connections between the higher-order trigonometric functions and Zeta functions. As applications, various known finite trigonometric sums are explicitly expressed as linear combinations of the Bernoulli and Euler polynomials and numbers. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free