Open AccessAnother two families of integer-valued polynomials associated with finite trigonometric sums
Author(s) -
Djurdje Cvijović
Publication year - 2021
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm200915004c
Subject(s) - mathematics , integer (computer science) , trigonometry , simple (philosophy) , proofs of trigonometric identities , algebra over a field , discrete mathematics , classical orthogonal polynomials , orthogonal polynomials , combinatorics , pure mathematics , polynomial , mathematical analysis , computer science , philosophy , epistemology , linear interpolation , bicubic interpolation , programming language
As a sequel to our recent paper, its general approach was here extended to finite alternating trigonometric sums giving rise to polynomials which were systematically examined in full detail as well as in a unified manner using simple 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 enable closed-form summation of a great deal of general families of finite sums.