Mahmood, ShahidRaza, NusratAbuJarad, Eman S.A.Srivastava, GautamSrivastava, H.M.Malik, Sarfraz Nawaz2019-07-222019-07-2220192019Mahmood, S., Raza, N., AbuJarad, E.S.A., Srivastava, G., Srivastava, H.M. & Malik, S.N. (2019). Geometric Properties of Certain Classes of Analytic Functions Associated with a q-Integral Operator. Symmetry, 11(5), 719. https://doi.org/10.3390/sym11050719https://doi.org/10.3390/sym11050719http://hdl.handle.net/1828/10984This article presents certain families of analytic functions regarding q-starlikeness and q-convexity of complex order γ(γ∈C\{0}) . This introduced a q-integral operator and certain subclasses of the newly introduced classes are defined by using this q-integral operator. Coefficient bounds for these subclasses are obtained. Furthermore, the (δ,q)-neighborhood of analytic functions are introduced and the inclusion relations between the (δ,q)-neighborhood and these subclasses of analytic functions are established. Moreover, the generalized hyper-Bessel function is defined, and application of main results are discussed.enGeometric Function Theoryq-integral operatorq-starlike functions of complex orderq-convex functions of complex order(δ,q)-neighborhoodArticleDepartment of Mathematics and Statistics