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

Symmetry

Maryam Al-Towailb¹ 

[1] Department of Computer Science and Engineering, King Saud University, Riyadh 11451, Saudi Arabia;

关键词: q-difference equation;    q-Lidstone polynomials;    Green functions;    q-Fourier series;   

DOI  :  10.3390/sym14040782

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown