Let D be the open unit disk in the complex plane C. Denote by H(D) the class of all functions analytic on D. An analytic self-map φ : D → D induces the composition operator Cφ on H(D), defined by Cφ ( f ) = f (φ(z)) for f analytic on D. It is a well-known consequence of Littlewood’s subordination principle that the composition operator Cφ is bounded on the classical Hardy and Bergman spaces (se...

Our goal in this article is to use ideas from symmetric q-calculus operator theory the study of meromorphic functions on punctured unit disc and propose a novel q-difference for these functions. A few additional classes are then defined light new operator. We prove many useful conclusions regarding newly constructed functions, such as convolution, subordination features, integral representation...

Zadeh’s fuzzy set theory offers a logical, adaptable solution to the challenge of defining, assessing and contrasting various sustainability scenarios. The results presented in this paper use concept embedded into theories differential subordination superordination established developed geometric function theory. As an extension classical subordination, was first introduced 2011. In order gener...

In this paper, we obtain the sharp and accurate bounds for logarithmic coefficients of some subclasses analytic functions defined studied in earlier works. Furthermore, second Hankel determinant a class by subordination, such as starlike S*(φ). Some applications our results, which are extensions those reported papers given here special cases. addition, results can be used other popular subclass...

Let H be the class of functions f(z) of the form f(z) = z + ∑∞ n=2 anz , which are analytic in the unit disk U = {z : |z| < 1}. In this paper, the authors introduce a subclass M (α, λ, ρ) of H and study its some properties. The subordination relationships, inclusion relationships, coefficient estimates, the integral operator and covering theorem are proven here for each of the function classes....

In this paper we introduce a certain general class Φp (a, c, A,B) (β ≥ 0, a > 0, c > 0, −1 ≤ B < A ≤ 1, p ∈ N = {1, 2, ...}) of multivalent analytic functions in the open unit disc U = {z : |z| < 1} involving the linear operator Lp(a, c). The aim of the present paper is to investigate various properties and characteristics of this class by using the techniques of Briot-Bouquet differential subo...

This paper presents the Gaussian subordination framework to generate optimal one-sided approximations to multidimensional real-valued functions by functions of prescribed exponential type. Such extremal problems date back to the works of Beurling and Selberg and provide a variety of applications in analysis and analytic number theory. Here we majorize and minorize (on RN ) the Gaussian x 7→ e−π...

In this paper we considered some new classes of multivalent functions by using Aouf-Silverman-Srivastava operator and derived some important results using convolution and subordination technique. This new class is an extension of a class which introduced before.

In the present paper, we prove subordination, superordination and sandwich-type properties of a certain integral operators for univalent functions on open unit disc, moreover the special behavior of this class is investigated.