TY - JOUR AU - Choi, Junesang AU - Khan, Nabiullah AU - Usman, Talha PY - 2022/01/18 Y2 - 2024/03/28 TI - Certain Laguerre-based Generalized Apostol Type Polynomials JF - Tamkang Journal of Mathematics JA - Tamkang J. Math. VL - 53 IS - 1 SE - Papers DO - 10.5556/j.tkjm.53.2022.3491 UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3491 SP - 59-74 AB - <p>A variety of polynomials, their extensions and variants have been extensively investigated, due mainly to their potential applications in diverse research areas. In this paper, we aim to introduce Laguerre-based generalized Apostol type polynomials and investigate some properties and identities involving them. Among them, some differential-recursive relations for the Hermite-Laguerre polynomials, which are expressed in terms of generalized Apostol type numbers and the Laguerre-based generalized Apostol type polynomials, an implicit summation formula and addition-symmetry identities for the Laguerre-based generalized Apostol type polynomials are presented. The results presented here, being very general, are pointed out to reduce to yield some known or new formulas and identities for relatively simple polynomials and numbers.</p> ER -