REMARKS ON A FAMILY OF COMPLEX POLYNOMIALS

Applicable Analysis and Discrete Mathematics

article

Dorin Andrica¹  Ovidiu Bagdasar² 

[1] Faculty of Mathematics and Computer Science, Babe¸s-Bolyai University;Department of Electronics, Computing and Mathematics, University of Derby

关键词: integer sequences;    integral formula;    polynomial coefficients;    extended polygonal polynomial;    extended cyclotomic polynomial;   

DOI  :  10.2298/AADM180827022A

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 】

Integral formulae for the coefficients of cyclotomic and polygonal polynomialswere recently obtained in [2] and [3]. In this paper, we define and studya family of polynomials depending on an integer sequence m1, . . . , mn, . . . ,and on a sequence of complex numbers z1, . . . , zn, . . . of modulus one. Weinvestigate some particular instances such as: extended cyclotomic, extendedpolygonal-type, and multinomial polynomials, for which we obtain formulaefor the coefficients. Some novel related integer sequences are also derived.

【 授权许可】

Unknown