ANOTHER TWO FAMILIES OF INTEGER-VALUED POLYNOMIALS ASSOCIATED WITH FINITE TRIGONOMETRIC SUMS

Applicable Analysis and Discrete Mathematics

article

Đurđe Cvijović¹ 

[1] Institut za nuklearne nauke ”Vinˇca”

关键词: Trigonometric sums;    Finite summation;    Integer-valued polynomials;    Special polynomials and numbers;    Cotangent sums;   

DOI  :  10.2298/AADM200915004C

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

As a sequel to our recent paper, its general approach was here extended tofinite alternating trigonometric sums giving rise to polynomials which weresystematically examined in full detail as well as in a unified manner usingsimple arguments. Two new general families of integer–valued polynomials(along with four other families derived from them, also integer–valued, including two already known) were deduced. Also, these polynomials enableclosed-form summation of a great deal of general families of finite sums.

【 授权许可】

Unknown