A Note on the Truncated-Exponential Based Apostol-Type Polynomials
Date
2019
Authors
Srivastava, H.M.
Araci, Serkan
Khan, Waseem A.
Acikgöz, Mehmet
Journal Title
Journal ISSN
Volume Title
Publisher
Symmetry
Abstract
n 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.
Description
Keywords
truncated-exponential polynomials, monomiality principle, generating functions, Apostol-type polynomials and Apostol-type numbers, Bernoulli, Euler and Genocchi polynomials, operational methods, summation formulas, symmetric identities
Citation
Srivastava, 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/sym11040538