Browsing by Author "Altintas, Osman"
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Item AN APPLICATION ON DIFFERENTIAL EQUATIONS OF ORDER m(2020) Altintas, Osman; Kilic, Oznur OzkanIn this paper we introduce the classes T-n (p, lambda, A, B) and K-n (p, lambda, mu, m, A, B) and derive distortion inequalities of the functions belonging to class K-n (p, lambda, mu, m, A, B). Further we apply to the (n, delta) - neighborhoods of functios in the class K-n (p, lambda, mu, m, A, B).Item Coefficient bounds and distortion theorems for the certain analytic functions(2019) Altintas, Osman; Mustafa, NizamiIn this paper, we introduce and investigate an analytic function class P-q(lambda, A, B) that we call the class of q-starlike and q-convex functions with respect to the parameter lambda. We give coefficient bounds estimates, distortion bound and growth theorems for the functions belonging to this class.Item Coefficient estimates for the class of quasi q-convex functions(2020) Altintas, Osman; Aydogan, MelikeIn this paper we introduce and investigate the class of P-q(lambda, beta, A, B), which is called quasi q-starlike and quasi q-convex with respect to the values of the parameter A. We give coefficient bounds estimates and the results for the main theorem.Item Coeffiinicet Problems For A Certain Subclass Of Analytic And Univalent Functions(TURKISH JOURNAL OF MATHEMATICS, 2024-11-26) Altintas, Osman; Mustafa, NizamiIn the present work, some new subclasses of analytic and univalent functions are introduced and some geometric properties such as coefficient estimates problem are studied for them. Furthermore, we show that our results are generalization for some earlier work in the literature and we show this by comparing ours with those related.Item Distortion bound and growth theorems for a subclass of analytic functions defiined by $q$-derivative(2022) Altintas, Osman; Mustafa, NizamiIn this study, we introduce and examine a subclasses of analytic and univalent functions defined by q -derivative. Here, we give necessary conditions for the functions to belong to these subclasses, and distortion bound and growth theorems for the functions belonging to these classes.Item Neighborhoods of Analytic Functions Associated with Fractional Derivative(2016) Altintas, OsmanIn this paper we define a differential operator and introduce the subclasses F-n,p(q) (lambda, alpha, delta) and K-n,p(q) (lambda, alpha, delta, mu) of functions which are analytic and p-valent in the open unit disk. Also we derive coefficient bounds, distortion inequalities, associated inclusion relation for (n, epsilon)-neighborhoods of the classes, which are defined by means of a certain non-homogeneous differential equation.