@article{Mansour2023, 
author = {Zeinab S. I. Mansour and Maryam Al-Towailb},
title = {A    q-Type    k-Lidstone series for entire functions},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {6},
pages = {13525-13542},
keywords = {q-calculus, Lidstone series, convergence series, q-type Lidstone polynomials, q-difference operator},
url = {https://www.sciopen.com/article/10.3934/math.2023686},
doi = {10.3934/math.2023686},
abstract = {In this paper, we consider the    q-type    k-Lidstone series. The series follows from expanding certain classes of entire functions in terms of Jackson        q          −      1      - derivatives at integers congruent to r modulo k, where    k is a positive integer. We study the main properties of the fundamental polynomials that appear in the series expansion. We include a detailed study for the case    k  =  3 with some examples.}
}