@article{tjant2019751,
author={{Duran, Ugur and Acikgoz, Mehmet},
title={Generalized Gould-Hopper Based Fully Degenerate Central Bell Polynomials},
journal={Turkish Journal of Analysis and Number Theory},
volume={7},
number={5},
pages={124--134},
year={2019},
url={http://pubs.sciepub.com/tjant/7/5/1},
issn={2333-1232},
abstract={In this paper, we first provide the generalized degenerate Gould-Hopper polynomials via thedegenerate exponential functions and then give various relations and formulas such as addition formula andexplicit identity. Moreover, we consider the generalized Gould-Hopper based degenerate central factorialnumbers of the second kind and present several identities and relationships. Furthermore, we introducethe generalized Gould-Hopper based fully degenerate central Bell polynomials and investigated multifariouscorrelations and formulas including summation formulas, derivation rule and correlations with the Stirlingnumbers of the first kind, the generalized Gould-Hopper based degenerate central factorial numbers of thesecond kind and the generalized degenerate Gould-Hopper polynomials. We then acquire some relations withthe degenerate Bernstein polynomials for the generalized Gould-Hopper based fully degenerate central Bellpolynomials. Finally, we consider the Gould-Hopper based fully degenerate Bernoulli, Euler and Genocchipolynomials and by utilizing these polynomials, we develop some representations for the generalized Gould-Hopper based fully degenerate central Bell polynomials.},
doi={10.12691/tjant-7-5-1}
publisher={Science and Education Publishing}
}