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1

Some results on uniqueness and value distribution for q-shift difference differential polynomials

Waghamore Harina P., Maligi Ramya

Fasciculi Mathematici

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2020

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nr 63

87--101

EN

In this paper, we investigate the uniqueness and value distribution of g-shift difference differential polynomials of entire and meromorphic functions with zero order and obtain some results which improve and generalizes the previous results of Harina P. Waghamore and Sangeetha Anand [1].

2

Uniqueness of meromorphic functions of differential polynomials sharing a small function with finite weight

Waghamore Harina P., Bhoosnurmath Vijaylaxmi

Journal of Applied Analysis

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2019

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Vol. 25, nr 2

141--153

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.

3

Certain inequalities of meromorphic univalent functions associated with the Mittag-Leffler function

Aouf Mohamed K., Mostafa Adela O.

Journal of Applied Analysis

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2019

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Vol. 25, nr 2

173--178

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.

4

On a class of meromorphic functions defined by the convolution

Dziok J., Sokół J., Stankiewicz J.

Journal of Mathematics and Applications

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2015

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Vol. 38

59--70

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.

5

A uniqueness result on meromorphic functions sharing two sets II

Banerjee A., Majumder S., Mukherjee S.

Fasciculi Mathematici

|

2014

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Nr 53

17--30

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].

6

On Uniqueness of Meromorphic Functions Sharing Three Sets with Finite Weights

Banerjee A., Ahamed M. B.

Bulletin of the Polish Academy of Sciences. Mathematics

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2014

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Vol. 62, no. 3

243--256

EN

We prove the uniqueness of meromorphic functions sharing some three sets with finite weights.

7

On some classes of meromorphic functions defined by subordination and superordination

Totoi A.

Opuscula Mathematica

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2011

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Vol. 31, no. 4

651-668

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.

8

On meromorphic multivalent functions defined with the use of linear operator

Juma A. R. S.

Journal of Mathematics and Applications

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2011

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Vol. 34

35-44

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.

9

On classes of meromorphic or complex harmonic functions with a pole at the infinity

Jakubowski Z., Sibelska A.

Demonstratio Mathematica

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2009

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Vol. 42, nr 3

479-489

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].

10

On certain subclasses of meromorphically p-valent functions

Lashin A.

Demonstratio Mathematica

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2008

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Vol. 41, nr 2

371-380

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.

11

Some inequalities involving differential operators and their applications to certain multivalent functions

Dziok J., Huseyin I., Piejko K.

Journal of Mathematics and Applications

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2007

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Vol. 29

109-120

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].

12

On certain subclasses of meromorphically multivalent functions associated with a certain linear operator

Aouf M. K., Murugusundaramoorthy G.

Journal of Mathematics and Applications

|

2007

|

Vol. 29

33-52

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).

13

Differential polynomials and normality

Lahiri I., Dewan S.

Demonstratio Mathematica

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2005

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Vol. 38, nr 3

579--589

EN

We prove some normality criteria for a family of meromorphic functions which improve and suppliment some earlier results.

14

Some families of meromorphically multivalent functions and their applications

Dziok Jacek, Irmak H.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

|

2004

|

z. 27 [212]

19-23

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.

15

Certain operators and inequalities and their applications to meromorphically multivalent functions

Dziok J., Irmak H.

Demonstratio Mathematica

|

2003

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Vol. 36, nr 4

839--846

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.

16

On the Hadamard product of certain meromorphic univalent function

Patel J., Sahoo P.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

|

1999

|

z. 23 [175]

92-104

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.