@article{Kızılateş2023, 
author = {Can Kızılateş and Halit Öztürk},
title = {On parametric types of Apostol Bernoulli-Fibonacci, Apostol Euler-Fibonacci, and Apostol Genocchi-Fibonacci polynomials via Golden calculus},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {4},
pages = {8386-8402},
keywords = {Appell polynomials, Golden calculus, generating functions, determinants},
url = {https://www.sciopen.com/article/10.3934/math.2023423},
doi = {10.3934/math.2023423},
abstract = {This paper aims to give generating functions for the new family of polynomials, which are called parametric types of the Apostol Bernoulli-Fibonacci, the Apostol Euler-Fibonacci, and the Apostol Genocchi-Fibonacci polynomials by using Golden calculus. Numerous properties of these polynomials with their generating functions are investigated. These generating functions give us a generalization of some well-known generating functions for special polynomials such as Apostol Bernoulli-Fibonacci, Apostol Euler-Fibonacci, and Apostol Genocchi-Fibonacci polynomials. Using the Golden differential operator technique, the functional equation method for generating function, we present some properties of these newly established polynomials.}
}