Kucukoglu, Irem2026-01-242026-01-24202397807354464969780735452794978073545188997807354503019780735441088978073540359897807354445779780735443594978073544800197807354164370094-243Xhttps://doi.org/10.1063/5.0162056https://hdl.handle.net/20.500.12868/4527International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021 -- 2021-09-20 through 2021-09-26 -- Rhodes -- 192641In this paper, by using the theory of quantum calculus, we introduce a class of combinatorial numbers and polynomials. In particular, the class of q-combinatorial numbers introduced in this work is a q-analogue of the combinatorial numbers recently defined b y Simsek [9]. We also construct a formula f or t he generating f unctions o f these q -combinatorial n umbers i n terms of q-exponential functions. Furthermore, applying q-derivative, we analyze some properties of these q-combinatorial numbers and their generating functions. As a result of this analysis, we give a few remarks related to our findings. Finally, we conclude the paper with a brief observation on our results. © 2023 American Institute of Physics Inc.. All rights reserved.eninfo:eu-repo/semantics/closedAccessBinomial coefficientsCombinatorial numbersCombinatorial sumsFactorialsFinite sumsGenerating functionspolynomialsq-calculusq-Stirling numbers of the second kindSpecial numbersConference Object10.1063/5.0162056284912-s2.0-85176810085Q4