Uniqueness Of Meromorphic Functions Research Articles

Uniqueness of meromorphic functions concerning their differential-difference operators

Uniqueness of meromorphic functions concerning their differential-difference operators

Effect of the zeros of initial term non-gap polynomials of higher index on the uniqueness of meromorphic functions

Effect of the zeros of initial term non-gap polynomials of higher index on the uniqueness of meromorphic functions

Uniqueness of Meromorphic Functions with Respect to Their Shifts Concerning Derivatives

Uniqueness of Meromorphic Functions with Respect to Their Shifts Concerning Derivatives

Uniqueness of meromorphic functions and their powers in set sharing

Abstract The objective of this study is to determine whether the existence of shared sets S containing both meromorphic (entire) functions and their higher derivatives, as well as powers of meromorphic functions and their differential polynomials, could result in uniqueness. The main focus is on determining the precise solutions to various differential equations. This problem is being studied in a broader context, specifically in set sharing.

On a Subclass of Meromorphic Univalent Functions With Fixed Second Coefficientsassociated with q-Differed Operator

The main object of this article is to study and introduce a subclass of meromorphic univalent functions with fixed second positive defined by q-differed operator. Coefficient bounds, distortion and Growth theorems, and various are the obtained results.

Uniqueness of meromorphic function under weighted sharing of two or three sets exclusively in $${\mathbb {C}}$$

Uniqueness of meromorphic function under weighted sharing of two or three sets exclusively in $${\mathbb {C}}$$

On Some Differential Operators Related to A Type of Meromorphic Univalent Functions

The goal of this article is to introduce a class of a type of meromorphic function which defined by some differential operators. Then we study various properties of these operators such as, coefficient inequality, both of growth and distortion theorems, radii of Star likeness and convexity of f(z) in the class that we present it.

Uniqueness of meromorphic functions concerning differential-difference polynomials

Uniqueness of meromorphic functions concerning differential-difference polynomials

On Sandwich Results of Meromorphic Univalent Functions Defined by New Hadamard Product Operator

" In the present paper, we obtain differential subordination and superordination results for meromorphic univalent functions defined by a new Hadamard product operator in a punctured open unit disk. We get a number of sandwich-type results.

Uniqueness of Meromorphic Functions when Its Shift and First Derivative Share Three Values

Uniqueness of Meromorphic Functions when Its Shift and First Derivative Share Three Values

Some Results Regarding Partial Differential Polynomials and the Uniqueness of Meromorphic Functions in Several Variables

Some Results Regarding Partial Differential Polynomials and the Uniqueness of Meromorphic Functions in Several Variables

Uniqueness of meromorphic functions and their differential-difference polynomials with shared small functions

Uniqueness of meromorphic functions and their differential-difference polynomials with shared small functions

Certain Subclasses of Meromorphic Functions with Positive Coefficients Associated with Linear Operator

In this paper, we introduce and study certain subclass of meromorphic univalent functions by using a linear operator by means of a Hadamard product involving some suitably normalized meromorphically q-Hypergeometric functions, in the punctured open unit disk. Some properties like, coefficients inequalities, growth and distortion theorems, closure theorems, Extreme Points and Radii of meromorphic starlikeness and meromorphic convexity are obtained.

Hardy type inequalities for one weight function and their applications

New one-dimensional Hardy-type inequalities for a weight function of the form $x^\alpha(2-x)^\beta$ for positive and negative values of the parameters $\alpha$ and $\beta$ are put forward. In some cases, the constants in the resulting one-dimensional inequalities are sharp. We use one-dimensional inequalities with additional terms to establish multivariate inequalities with weight functions depending on the mean distance function or the distance function from the boundary of a domain. Spatial inequalities are proved in arbitrary domains, in Davies-regular domains, in domains satisfying the cone condition, in $\lambda$-close to convex domains, and in convex domains. The constant in the additional term in the spatial inequalities depends on the volume or the diameter of the domain. As a consequence of these multivariate inequalities, estimates for the first eigenvalue of the Laplacian under the Dirichlet boundary conditions in various classes of domains are established. We also use one-dimensional inequalities to obtain new classes of meromorphic univalent functions in simply connected domains. Namely, Nehari-Pokornii type sufficient conditions for univalence are obtained.

A new subclass of meromorphic univalent functions associated with linear operator Lk involving complex order I

In this paper, we introduce a new subclass of analytic and meromorphic univalent function associated with liner operator involving complex order in the punctured unit disk. Then we characterized these functions and obtained some of properties of this subclass.

Geometric Properties of Meromorphic Functions Involving Convolution Operator

We introduce and study a subclass of meromorphic univalent functions with positive coefficients defined by a novel operator and obtain coefficient estimates, closure theorems, convolution properties, partial sums, and δ- neighborhood for the class .

Majorization Properties for Certain Subclasses of Meromorphic Function of Complex Order

By making use of q − differential operators, many distinct subclasses of analytic and meromorphic functions have already been defined and investigated from numerous perspectives. In this article, we investigated several majorization results for the class of meromorphic univalent functions of complex order, defined by q − differential operator. Moreover, we pointed out some new or known consequences of our results, which is in the form of corollaries.

Uniqueness of Meromorphic Functions Concerning Their Derivatives and Shifts with Partially Shared Values

Uniqueness of Meromorphic Functions Concerning Their Derivatives and Shifts with Partially Shared Values

Uniqueness of meromorphic functions concerning their derivatives and shifts with partially shared values

Abstract. The uniqueness problems of the j-th derivative of a meromorphic function f(z) and the k-th derivative of its shift f(z + c) are investigated in this paper, where j, k are integers with 0 ⩽ j < k. We show that when f (j) (z) and f (k) (z + c) share one IM value and two partially shared values CM, the uniqueness result remains valid under some additional hypotheses. With one CM value and two partially shared values CM, a uniqueness theorem about the j-th derivative of f(z) and the k-th derivative of its shift f(z + c) is also proved.

Class of Meromorphic Univalent Functions with Fixed Second Positive Coefficients Defined by q-Difference Operator

In this paper using a q-difference operator, a class of meromorphic univalent functions with fixed second positive coefficients is defined. Coefficient estimates, some distortion theorems and other properties for this class are obtained. Various results obtained are sharp.