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A q-Difference Equation and Fourier Series Expansions of q-Lidstone Polynomials

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In this paper, we present the q-Lidstone polynomials which are q-Bernoulli polynomials generated by the third Jackson q-Bessel function, based on the Green’s function of a certain q-difference equation. Also,… Click to show full abstract

In this paper, we present the q-Lidstone polynomials which are q-Bernoulli polynomials generated by the third Jackson q-Bessel function, based on the Green’s function of a certain q-difference equation. Also, we provide the q-Fourier series expansions of these polynomials and derive some results related to them.

Keywords: series expansions; difference equation; fourier series; lidstone polynomials

Journal Title: Symmetry
Year Published: 2022

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