Remarks on a family of complex polynomials
Journal article
Andrica, Dorin and Bagdasar, Ovidiu 2019. Remarks on a family of complex polynomials. Applicable Analysis and Discrete Mathematics. https://doi.org/10.2298/aadm180827022a
Authors | Andrica, Dorin and Bagdasar, Ovidiu |
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Abstract | Integral formulae for the coefficients of cyclotomic and polygonal polynomials were recently obtained in [2] and [3]. In this paper, we define and study a family of polynomials depending on an integer sequence m1, . . . , mn, . . . , and on a sequence of complex numbers z1, . . . , zn, . . . of modulus one. We investigate some particular instances such as: extended cyclotomic, extended polygonal-type, and multinomial polynomials, for which we obtain formulae |
Keywords | Applied Mathematics; Analysis; Discrete Mathematics and Combinatorics; cyclotomic polynomials; extended polygonal-type polynomials; multinomial polynomials; polynomial coefficients; integral formula; integer sequences |
Year | 2019 |
Journal | Applicable Analysis and Discrete Mathematics |
Publisher | University of Belgrade |
ISSN | 1452-8630 |
2406-100X | |
Digital Object Identifier (DOI) | https://doi.org/10.2298/aadm180827022a |
Web address (URL) | http://hdl.handle.net/10545/624284 |
http://creativecommons.org/licenses/by/4.0/ | |
hdl:10545/624284 | |
Publication dates | 30 Oct 2019 |
Publication process dates | |
Deposited | 01 Nov 2019, 10:47 |
Accepted | 10 Sep 2019 |
Rights | Attribution 4.0 International |
Contributors | University of Derby |
File | File Access Level Open |
File | File Access Level Open |
File | File Access Level Open |
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https://repository.derby.ac.uk/item/94z2x/remarks-on-a-family-of-complex-polynomials
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