On weighted q-Daehee polynomials with their applications
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CitationAraci, S., Duran, U., Acikgoz, M. (2019). On weighted q-Daehee polynomials with their applications. Indagationes Mathematicae, 30 (2), pp. 365-374. https://doi.org/10.1016/j.indag.2018.10.002
In this paper, we first consider a generalization of Kim's p-adic q-integral on Z(p) including parameters alpha and beta. By using this integral, we introduce the q-Daehee polynomials and numbers with weight (alpha, beta). Then, we obtain some interesting relationships and identities for these numbers and polynomials. We also derive some correlations among q-Daehee polynomials with weight (alpha, beta), q-Bernoulli polynomials with weight (alpha, beta) and Stirling numbers of second kind. (C) 2018 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.