@article {10.3844/jmssp.2018.7.15,
article_type = {journal},
title = {Applications of q-Umbral Calculus to Modified Apostol Type q-Bernoulli Polynomials},
author = {Acikgoz, Mehmet and Ates, Resul and Duran, Ugur and Araci, Serkan},
volume = {14},
year = {2018},
month = {Jan},
pages = {7-15},
doi = {10.3844/jmssp.2018.7.15},
url = {https://thescipub.com/abstract/jmssp.2018.7.15},
abstract = {This article aims to identify the generating function of modified Apostol type q-Bernoulli polynomials. With the aid of this generating function, some properties of modified Apostol type q-Bernoulli polynomials are given. It is shown that aforementioned polynomials are q-Appell. Hence, we make use of these polynomials to have applications on q-Umbral calculus. From those applications, we derive some theorems in order to get Apostol type modified q-Bernoulli polynomials as a linear combination of some known polynomials which we stated in the paper.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}