Sharp bounds for |a1 − μa0| are derived for certain classes Σ∗ φ and Σα φ of meromorphic functions f z defined on the punctured open unit disk for which −zf ′ z /f z and − 1 − 2α zf ′ z αz2f ′′ z / 1 − α f z − αzf ′ z α ∈ C − 0, 1 ; R α ≥ 0 , respectively, lie in a region starlike with respect to 1 and symmetric with respect to the real axis. Also, certain applications of the main results for a...

Let Σ denote the class of analytic functions in the punctured unit disc U∗ = {z ∈ C : 0 < |z| < 1} . In this paper, we introduce several new subclasses of meromorphic functions defined by means of the linear operator d(a, c; z). Inclusion properties of these classes and some applications involving integral operator are also considered. 2000 Mathematics Subject Classification: 30C45.

Let W ≤ d̄. We wish to extend the results of [2] to classes. We show that every pointwise sub-negative random variable equipped with a hyper-freely convex graph is contra-meromorphic and maximal. This reduces the results of [2] to a recent result of Zhao [17]. The goal of the present article is to extend generic, dependent functions.

The results from this paper are related to the geometric function theory. In order obtain them, we use technique based on differential subordination, one of newest techniques used in field, also known as admissible functions. For that, appropriate classes functions first defined. Based these classes, some subordination and superordination for multivalent meromorphic functions, analytic puncture...

‎The paper concerns interesting problems related to the field of Complex Analysis‎, ‎in particular, Nevanlinna theory of meromorphic‎ ‎functions‎. ‎We have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a‎ ‎small function‎. ‎Outside‎, ‎in this paper‎, ‎we also consider the uniqueness of $q-$ shift difference‎ - ‎differential polynomials‎ ‎of mero...