@article{Raza_Fadel_Cesarano_2024, title={A note on $q$-truncated exponential polynomials}, volume={16}, url={https://journals.pnu.edu.ua/index.php/cmp/article/view/7134}, DOI={10.15330/cmp.16.1.128-147}, abstractNote={<p>In this paper, we introduce the $q$-truncated exponential polynomials by means of the integral form. Certain properties of the $q$-truncated exponential polynomials like series definition, recurrence relations, $q$-differential equations and integral representations are obtained. Also, we introduce the associated $q$-truncated exponential polynomials, higher order $q$-truncated exponential polynomials and higher order associated $q$-truncated exponential polynomials. Furthermore, we obtain their integral forms, generating functions, series definitions, summation and operational formulas.</p>}, number={1}, journal={Carpathian Mathematical Publications}, author={Raza, N. and Fadel, M. and Cesarano, C.}, year={2024}, month={May}, pages={128–147} }