@article{AL-Towailb2022, 
author = {Maryam AL-Towailb},
title = {A generalization of the    q-Lidstone series},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {9339-9352},
keywords = {q-difference equations, standard sets of polynomials, q-Lidstone series},
url = {https://www.sciopen.com/article/10.3934/math.2022518},
doi = {10.3934/math.2022518},
abstract = {In this paper, we study the existence of solutions for the general    q-Lidstone problem:     (      D                  q                  −          1                                    r        n              f  )  (  1  )  =      a    n    ,    (      D                  q                  −          1                                    s        n              f  )  (  0  )  =      b    n    ,    (  n  ∈      N    )where    (      r    n        )    n   and    (      s    n        )    n   are two sequences of non-negative integers and    (      a    n        )    n   and    (      b    n        )    n   are two sequences of complex numbers. We define a        q          −      1      -standard set of polynomials and then we introduce a generalization of the    q-Lidstone expansion theorem.}
}