Applications Of Differential Subordination Research Articles

Applications of differential subordination and superordination theorems to fluid mechanics involving a fractional higher-order integral operator

The paper aims to study differential subordination and superordination preserving properties for certain analytic multivalent functions within the open unit disk related to a novel generalized fractional derivative operator for higher-order derivatives. As an application, we provide an explicit construction for the complex potential (the complex velocity) and the stream function of two-dimensional fluid flow problems over a circular cylinder using both vortex and source/sink. We further determine the fluid flow produced by a single source and construct a univalent function so that the image of a source is also a source for a given complex potential. Finally, we present some plot simulations that illustrate the results of this work.

Coefficient bounds and differential subordinations for analytic functions associated with starlike functions

The aim of the present paper is to study some coefficient problems for certain classes associated with starlike functions such as sharp bounds for initial coefficients, logarithmic coefficients, Hankel determinants and Fekete–Szego problems. Moreover, we obtain some geometric properties as applications of differential subordinations.

Applications of differential subordinations involving a generalized fractional differintegral operator

Using the third-order differential subordination basic results, we introduce certain classes of admissible functions and investigate some applications of third-order differential subordination for p-valent functions associated with generalized fractional differintegral operator.

Differential subordination results for Mittag-Leffler type functions with bounded turning property

Abstract We aim to present a new linear integral operator and a certain subclass of regular functions with bounded turning property in correlation with the extended generalised Mittag-Leffler functions. Several results concerning an application of differential subordination are also investigated.

Some Applications of Differential Subordinations for Generalized Bessel Functions

Some novel applications of differential subordination for meromorphically multivalent functions with an operator involving generalized Bessel functions are given.

Some Applications of Differential Subordination of p-Valent Functions

Abstract The object of the present paper is to investigate some inclusion relationships and a number of other properties of several subclasses of multivalent analytic functions, which are defined here by using the hypergeometric function. Relevant connections of the results presented here with those obtained in earlier works are pointed out.

Some applications of differential subordination and the Dziok–Srivastava convolution operator

By making use of the principle of differential subordination and the Dziok–Srivastava convolution operator, we introduce and investigate three interesting subclasses of analytic and univalent functions in the open unit disk. We obtain their inclusion relationships and also show that these classes are closed under convolution with convex functions. The results presented in this paper provide generalizations of several recent works by (for example) Özkan and Altıntaş (2006) [16], Trojnar-Spelina (2008) [30], and many other authors.

Some applications of differential subordinations in the geometric function theory

Let A denote the class of functions f , which are analytic in the open unit disc and normalized by f (0) = f � (0) - 1 = 0. We investigate the connection of the quantity z(f � (z )-1 )/f (z )w ithf (z)/z. Obtained results are the extensions of those presented by Tuneski and Obradovi´ c (Comput. Math. Appl. 62:3438-3445, 2011). Moreover, we solve the open problems posed in the paper above. MSC: Primary 30C45; secondary 30C80

Applications of differential subordinations for certain classes of p-valent functions associated with generalized Srivastava-Attiya operator

Abstract The object of the present paper is to investigate some inclusion relations and other interesting properties for certain classes of p-valent functions involving generalized Srivastava-Attiya operator by using the principle of differential subordination. MSC:30C45.

On Applications of Differential Subordination and Differential Operator

Problem statement: The object of this study is to obtain certain differential subordinations. Approach: Here we use known generalized differential operator given by Darus and Ibrahim and well known lemmas given by Miller and Mocanu. Results: We will pose several results on subordination theorems. Conclusion: Many other results can be obtained by using the operator defined.

Some applications of differential subordination on analytic functions

Let denote the class of analytic functions f = {f 1, f 2, … , f s } on the unit disk U satisfying where and is the extended Ruscheweyh derivative defined by and h is convex univalent in U with h(0) = 1. Also let F = {F 1, F 2, … , F s }, where It is proved that whenever and also that Three more such classes denoted by , and are introduced and studied here by subordination methods and convolutions.

Some applications of differential subordination of p-valent functions associated with Cho-Kwon-Srivastava operator

Making use of the principle of differential subordination, we investigate some inclusion relationships of certain subclasses of p-valent analytic functions which are defined by Cho-Kwon-Srivastava Operator.

AN APPLICATION OF DIFFERENTIAL SUBORDINATIONS TO THE CLASS OF CERTAIN ANALYTIC FUNCTIONS

For functions belonging to the generalization class $\mathcal{R}_{p}(k,\alpha ,\lambda )$ of analytic functions in the open unit disc $\mathbb{U}=\{z:\,\left| z\right| \lt 1\}$, which investigated in this paper, some applications of differential subordination are obtained which contain interesting property of Hurwitz-Lerch Zeta function.

An Application of Differential Subordination

We apply the general theory of differential subordination to obtain certian interesting criteria for -valent starlikeness and strong starlikeness. Some applications of these results are also discussed.

On applications of differential subordination and superordination

In the present investigation we obtain the sufficient conditions for normalized analytic functions $f$ to satisfy$$ q_1 \prec \frac{f^2}{z^2f'} \prec q_2, $$where $ q_1 $ and $ q_2 $ are univalent functions with $ q_1(0)= q_2(0)=1 $. Also we obtain the sandwich results involving Carlson-Shaffer linear operator, $ S\u{a}l\u{a} $gean derivative and Ruscheweyh derivative.

On certain applications of the Hadamard product

In this paper, we give an extension of the Özkan and Altintaş results [Ö. Özkan, O. Altintaş, Applications of differential subordination, Appl. Math. Lett. 19 (2006) 728–734] on the inclusion relationships involving various subclasses of analytic and univalent functions, defined in terms of linear operators. We show that these classes are closed under convolution with convex functions.

Some applications of differential subordination

The authors introduce a two-parameter function G ( p , λ ; z ) which is shown to play an important rôle in a unified presentation of many interesting subclasses of analytic and p -valent functions in the open unit disk U . Making use of the familiar principle of differential subordination, several properties and relationships involving the function G ( p , λ ; z ) are derived. Some sufficient conditions for p -valent starlikeness are also obtained.

Applications of differential subordination

In this work, the authors introduce several new subclasses of analytic functions in the unit disk and investigate various inclusion properties of these subclasses. Also, we determine inclusion relationships between these new subclasses and other known classes.

Some applications of differential subordination

Let Sa (h) denote the class of analytic functions f on the unit disc E with f (0) =0 = f′ (0) −1 satisfying , where (a real), denotes the Hadamard product of Ka with f, and h is a convex univalent function on E, with Re h > 0. Let . It is proved that F ε Sa (h) whenever f ε Sa (h) and also that for a ≥ 1. Three more such classes are introduced and studied here. The method of differential subordination due to Eenigenburg et al. is used.