In this paper, by meromorphic functions we will always mean meromorphic functions in the complex plane C. We adopt the standard notations of the Nevanlinna theory of meromorphic functions as explained in [6]. It will be convenient to let E denote any set of positive real numbers of finite linear measure, not necessarily the same at each occurrence. For a non-constant meromorphic function h, we ...

In this survey we deal with transcendental meromorphic and entire functions. We thoroughly discuss in context close relations between topological pressure conformal measures for geometric potentials. For two more special classes of functions, namely dynamically semi-regular those the class \(\mathcal {D}\) that have negative spectrum, then also discuss, by means appropriate transfer (or Perron-...

In this paper we establish some results concerning the partial sums of meromorphic p-valent starlike functions and meromorphic p-valent convex functions.

In this paper, we introduce a new class of analytic functions defined by a new convolution operator La (α, β). The new class of analytic functions Σ a,t α,β (ρ; h) in U ∗ = {z : 0 < |z| < 1} is defined by means of a hypergeometric function with an integral operator associated with the Hurwitz-Lerch Zeta function and differential subordination. The authors also introduces and investigates variou...

in this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. we give some sufficient conditions for functions belonging to this class.

Abstract We discuss meromorphic functions on the complex plane which are Brody curves regarded as holomorphic maps to $${{\mathbb {P}}}_1$$ P 1 , i.e., have bounded spherical derivative. For some special classes we gave explicit criteria Brody. also divisors of very slo...

This is an expanded version of one of the Lectures in memory of Lars Ahlfors in Haifa in 1996. Some mistakes are corrected and references added. This article is an exposition for non-specialists of Ahlfors’ work in the theory of meromorphic functions. When the domain is not specified we mean meromorphic functions in the complex plane C. The theory of meromorphic functions probably begins with t...

In this article we study the growth of meromorphic solutions of high order linear differential equations with meromorphic coefficients of (p, q)order. We extend some previous results due to Beläıdi, Cao-Xu-Chen, Kinnunen, LiuTu -Shi, and others.

The main purpose of this paper is to introduce and investigate a certain subclass of meromorphic close-to-convex functions. Such results as coefficient inequalities, convolution property, inclusion relationship, distortion property, and radius of meromorphic convexity are derived.

Let f be a nonconstant meromorphic function in the complex plane C. We shall use the standard notations in Nevanlinna’s value distribution theory of meromorphic functions such as T r, f , N r, f , and m r, f see, e.g., 1, 2 . The notation S r, f is defined to be any quantity satisfying S r, f o T r, f as r → ∞ possibly outside a set of E of finite linear measure. Let F be a family of meromorphi...