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On weighted q-Daehee polynomials with their applications
(Elsevier B.V., 2019-03)
In this paper, we first consider a generalization of Kim's p-adic q-integral on Z p including parameters α and β. By using this integral, we introduce the q-Daehee polynomials and numbers with weight α,β. Then, we obtain ...
Multifarious implicit summation formulae of Hermite-based poly-Daehee polynomials
(Natural Sciences Publishing USA, 2018-03-01)
In this paper, we introduce the generating function of Hermite-based poly-Daehee numbers and polynomials. By making use of this generating function, we investigate some new and interesting identities for the Hermite-based ...
Bell-Based Bernoulli Polynomials with Applications
(MDPI, MAR 2021)
In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the ...
Generating functions of Bernstein polynomials: Fourier series expansion and applications
(International Scientific Research Publications, 2024)
In this paper, we introduce the Fourier series expansion of the generating function for Bernstein polynomials. We also present series formulas for the generating function of Bernoulli polynomials. Furthermore, we establish ...