On the eigenstructure of the q-stancu operator
Citation
Gürel Yılmaz, Ö. (2024). On the eigenstructure of the q-Stancu operator. Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 73(3), 820–832. https://doi.org/10.31801/cfsuasmas.1388792Abstract
The main goal of this research is to find the eigenvalues and the corresponding eigenfunctions of the q-Stancu operator, Ln,s,q, introduced by L. Yun and R. Wang. In this work, an explicit representation for moments of all orders has been derived. Further, it has been proved that Ln,s,q possesses n - s + 1 linearly independent eigenfunctions whose explicit expression and the corresponding eigenvalues are derived. In addition, for special choices of parameters, several eigenfunctions are depicted.
