Srivastava, H.M.Araci, SerkanKhan, Waseem A.Acikgöz, Mehmet2019-05-032019-05-0320192019Srivastava, H.M., Araci, S., Khan, W.A. & Acikgöz, M. (2019). A Note on the Truncated-Exponential Based Apostol-Type Polynomials. Symmetry, 11(4), 538. https://doi.org/10.3390/sym11040538http://dx.doi.org/10.3390/sym11040538http://hdl.handle.net/1828/10841n this paper, we propose to investigate the truncated-exponential-based Apostol-type polynomials and derive their various properties. In particular, we establish the operational correspondence between this new family of polynomials and the familiar Apostol-type polynomials. We also obtain some implicit summation formulas and symmetric identities by using their generating functions. The results, which we have derived here, provide generalizations of the corresponding known formulas including identities involving generalized Hermite-Bernoulli polynomials.entruncated-exponential polynomialsmonomiality principlegenerating functionsApostol-type polynomials and Apostol-type numbersBernoulli, Euler and Genocchi polynomialsoperational methodssummation formulassymmetric identitiesArticleDepartment of Mathematics and Statistics