TY - JOUR
AU - Raza, N.
AU - Fadel, M.
AU - Cesarano, C.
PY - 2024/05/27
Y2 - 2024/11/02
TI - A note on $q$-truncated exponential polynomials
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 16
IS - 1
SE - Scientific articles
DO - 10.15330/cmp.16.1.128-147
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/7134
SP - 128-147
AB - <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>
ER -