AffiliationUniversity of Derby
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AbstractIntegral formulae for the coefficients of cyclotomic and polygonal polynomials were recently obtained in  and . 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 for the coefficients. Some novel related integer sequences are also derived.
CitationAndrica, D., and Bagdasra, O. (2019). 'Remarks on a family of complex polynomials'. Applicable analysis and discrete mathematics, 13, pp, 605-618. DOI: 10.2298/aadm180827022a
PublisherUniversity of Belgrade
JournalApplicable Analysis and Discrete Mathematics
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