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EN
Let f be a non-constantmeromorphic function and a = a(z) (≢ 0,∞) a small function of f . Here, we obtain results similar to the results due to Indrajit Lahiri and Bipul Pal [Uniqueness of meromorphic functions with their homogeneous and linear differential polynomials sharing a small function, Bull. KoreanMath. Soc. 54 (2017), no. 3, 825-838] for a more general differential polynomial by introducing the concept ofweighted sharing.
EN
The purpose of this paper is to prove differential inequalities for meromorphic univalent functions by using a new operator associated with the Mittag-Leffler function.
EN
In the present paper we define some classes of meromorphic functions with fixed argument of coefficients. Next we obtain coefficient estimates, distortion theorems, integral means inequalities, the radii of convexity and starlikeness and convolution properties for the defined class of functions.
4
Content available remote A uniqueness result on meromorphic functions sharing two sets II
EN
We employ the notion of weighted sharing of sets to deal with the well known question of Gross and obtain a unique-ness result on meromorphic functions sharing two sets which will improve an earlier result of Lahiri [15] and a recent one of Banerjee [2].
EN
We prove the uniqueness of meromorphic functions sharing some three sets with finite weights.
EN
Let p ∈ N* and β,γ ∈ C with β,≠ 0 and let ∑p denote the class of meromorphic functions of the form g(z) = α-p/zp + α0 + α1z + …, z ∈ U, α-p ≠ 0. We consider the integral operator Jp,β,γ : Kp,β,γ: ⊂ ∑p → ∑p defined by [formula]. We introduce some new subclasses of the class ∑p, associated with subordination and superordination, such that, in some particular cases, these new subclasses are the well-known classes of meromorphic starlike functions and we study the properties of these subclasses with respect to the operator Jp,β,γ.
7
Content available remote On meromorphic multivalent functions defined with the use of linear operator
EN
In the present paper we introduce two classes of meromorphically multivalent functions and application of linear operators on these classes. We study various properties and coefficients bounds, the concept of neighbourhood also investigated.
8
EN
In this article we investigate some classes of meromorphic or complex harmonie functions with a pole, which are generated either by analytic conditions or by "coefficient inequalities". There are given theorems, which combine the geometrical properties of functions of the introduced classes. Some results broaden knowledge about the classes of functions, which were investigated in [15]. The main inspiration for the reaserch were the papers [4] and [11]. The part of results were presented in the XII-th International Mathematically-Informatical Conference in Chełm (2nd-5th July, 2006) [12].
9
Content available remote On certain subclasses of meromorphically p-valent functions
EN
In this paper we introduce the class [...](A B) of meromorphically p-valent functions and investigate some inclsion properties, coefficient estimates, distortion theorems. Also we investigate some results concerning the partial sums and nieghbourhoods of such functions.
EN
The main object of the present paper is to investigate several results of certain differential operators which were recently introduced and (or) studied in a series of papers by Chen et et al. [1-3], Irmak et al. [8, 10, 11], Dziok et al. [5, 6] and Liu et al. [14]. In addition, some applications of our results involving certain differential inequalities of multivalently analytic and (or) multivalently raeromorphic functions are given. Our certain results also include some recent results in [5, 6, 9, 11, 12].
EN
In this paper we introduce and study two subclasses (Rn,p(α, A, B)) and Sn,p(α, A, B)) of meromorphic p-valent functions of order α (0 ≤ α < p) defined by certain linear operator. We investigate the various important properties and characteristics of these subclasses. Some properties of neighborhoods of functions in these subclasses are investigated. Also we derive many interesting results for the Hadamard products of functions belonging to the class Sn,p(α, A, B).
12
Content available remote Differential polynomials and normality
EN
We prove some normality criteria for a family of meromorphic functions which improve and suppliment some earlier results.
EN
In the aim of the present paper, two families of meromorphically multivalent (non-normalized) functions with complex coefficients in the punctured unit disk are stated. They also indicate relevant connections of these families of meromorphically multivalent and meromorphic univalent functions which involve some interesting results on this topics of Geometric and Analytic Functions Theory.
EN
In the present paper, making use of certain operators, some theorems involving inequalities on meromorphically multivalent functions in the punctured unit disk are obtained. Moreover, some of the results which are important for geometric function theory are also included.
EN
In the paper some properties of the Hadamard product of functions from the special subclasses of meromorphic functions with nonnegative Laurent coefficients denned in the punctured unit disc are investigated.
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