Ahuja, Om P.ÇETİNKAYA, ASENAJain, Naveen Kumar2024-04-012024-04-012023Ahuja, O., Çetinkaya, A., & Jain, N. K. (2023). Analytic functions with conic domains associated with certain generalized q-integral operator. arXiv preprint arXiv:2012.13776.1225-1763https://doi.org/10.4134/CKMS.c230002https://hdl.handle.net/11413/9138In this paper, we define a new subclass of k-uniformly starlike functions of order-gamma (0 <= gamma < 1) by using certain generalized q integral operator. We explore geometric interpretation of the functions in this class by connecting it with conic domains. We also investigate q sufficient coefficient condition, q-Fekete-Szego inequalities, q-Bieberbach De Branges type coefficient estimates and radius problem for functions in this class. We conclude this paper by introducing an analogous subclass of k-uniformly convex functions of order-gamma by using the generalized q-integral operator. We omit the results for this new class because they can be directly translated from the corresponding results of our main class.eninfo:eu-repo/semantics/closedAccessQuantum Calculusq-derivative Operatorq-difference Operatorq-gamma Functionq-integral OperatorConic DomainsK-uniformly Starlike Functions of Order GammaCoefficient EstimatesArticle0011274208000012-s2.0-85176448588