Integral Preserving Properties Research Articles

Argument estimates associated with meromorphic close-to-starlike and Bazilević functions

The object of the present paper is to derive some argument properties associated with meromorphic close-to-starlike and Bazilević functions in the punctured open unit disk. Furthermore, we investigate integral-preserving properties in a sector with some special cases of the main results presented here.

Inclusion results for the class of fuzzy $ \alpha $-convex functions

<abstract><p>The notion of a fuzzy subset is used to introduce certain subclasses of analytic functions. Mainly, this article presents several inclusion results and integral preserving properties. Also, certain applications of the analytic functions in terms of fuzzy structure will be discussed.</p></abstract>

Inclusion relations for some classes of analytic functions involving Pascal distribution series

In this article, we introduce and discuss some new subclasses of functions that are analytic in the open unit disc and involve the Pascal distribution series. Moreover, inclusion relations and integral preserving properties of these subclasses are determined.

On Certain Classes of Multivalent Analytic Functions Defined with Higher-Order Derivatives

This paper examines two subclasses of multivalent analytic functions defined with higher-order derivatives. These classes of functions are generalizations of several known subclasses that have been studied in separate works. Moreover, we find several interesting results for functions in these classes, including subordination results, containment relations, and integral preserving properties.

On Certain Subclass of Analytic Functions

In the present investigation, a new general subclass $M_{\alpha ,\beta }\left( \phi \right) $ of analytic functions is defined. Some subordination relations, inclusion relations, integral preserving properties, convolution properties and some other interesting properties are studied.

Some Inclusion Relations of Certain Subclasses of Strongly Starlike, Convex and Close-to-Convex Functions Associated with a Pascal Operator

This paper studies some inclusion properties of some new subclasses of analytic functions in the open symmetric unit disc U that are associated with the Pascal operator. Furthermore, the integral-preserving properties in a sector for these subclasses are also investigated.

Starlikeness Associated with Tangent Hyperbolic Function

The primary objective of this study is to establish a class of starlike functions (symmetric under rotation) that are related to a tangent hyperbolic. Integral preserving properties along with the sufficiency criteria involving coefficients are investigated for the same class. Differential subordinations problems, which are linked to Janowski and tangent hyperbolic functions, are also discussed. We also utilize these findings to find sufficient conditions for the starlike functions.

Inclusion Relations for Dini Functions Involving Certain Conic Domains

In recent years, special functions such as Bessel functions have been widely used in many areas of mathematics and physics. We are essentially motivated by the recent development; in our present investigation, we make use of certain conic domains and define a new class of analytic functions associated with the Dini functions. We derive inclusion relationships and certain integral preserving properties. By applying the Bernardi-Libera-Livingston integral operator, we obtain some remarkable applications of our main results. Finally, in the concluding section, we recall the attention of curious readers to studying the q-generalizations of the results presented in this paper. Furthermore, based on the suggested extension, the (p,q)-extension will be a relatively minor and unimportant change, as the new parameter p is redundant.

On certain inclusion relations of functions with bounded rotations associated with Mittag-Leffler functions

<abstract><p>Inspired essentially by the excellence of the implementations of the Mittag-Leffler functions in numerous areas of science and engineering, the authors present, in a unified manner, a detailed account of the Mittag-Leffler function and generalized Mittag-Leffler functions and their interesting and useful characteristics. Besides that, we have used generalized Mittag-Leffler functions to define some novel classes associated with bounded boundary and bounded radius rotations. Moreover, several inclusion relations and radius results, along with some integral preserving properties of these newly constructed classes have been investigated. Our derived results are analogous to some of those already present in the literature. The results showed that the proposed findings procedure is dependable and meticulous in presenting the tendencies of subordination, super-ordination and fractional operators techniques.</p></abstract>

A generalized class of α-convex functions with respect to n-symmetric points

In this paper, we investigate certain subclass of analytic functions on the open unit disc. This class generalizes the well-known class of [Formula: see text]-convex functions with respect to n-symmetric points. Some interesting properties such as subordination results, containment relations, integral preserving properties, and the integral representation for functions in this class are obtained.

On Some Relationships of Certain K − Uniformly Analytic Functions Associated with Mittag-Leffler Function

In this paper, we introduce and investigate several inclusion relationships of new k -uniformly classes of analytic functions defined by the Mittag-Leffler function. Also, integral-preserving properties of these classes associated with the certain integral operator are also obtained.

On Bessel Functions Related with Certain Classes of Analytic Functions with respect to Symmetrical Points

In the present investigation, subclasses of analytic functions with respect to symmetrical points which are defined by the generalized Bessel functions of the first kind of orderμare introduced. Furthermore, some alluring geometric properties of these classes, which include inclusion property, integral-preserving properties, coefficients, and distortion results are studied. Moreover, some consequences of our results are also given.

Inclusion relations of $ q $-Bessel functions associated with generalized conic domain

In this paper, we investigate the geometric properties of Jackson and Hahn-Exton $ q $-Bessel functions and perform their normalization for the analyticity in open unit disk $ E $. By applying normalized Jackson and Hahn-Exton $ q $-Bessel functions and idea of convolution we introduce a new operator and define new family of subclasses of analytic functions related with generalized conic domain. For these subclasses of analytic functions, we investigate inclusion relations and integral preserving properties. Also we will use $ q $-Bernardi integral operator to discuss some applications of our main results.

Certain subclass of p-valent functions associated with Bessel functions

We introduce the subclass Sjp (?; c, k; ?), of p-valent functions associated with Bessel functions. Such results as inclusion relationships, convolution properties for this class are proved, coefficient estimates and certain integral preserving properties are also established with this class.

Some Properties for Certain Subclasses of Analytic Functions Associated with $k-$Integral Operators

In this paper, the k-integral operators for analytic functions dened in the open unit disc U = fz 2 C : jzj < 1g are introduced. Several new subclasses of analytic functions satisfying certain relations involving these operators are also introduced. Further, we establish the inclusion relation for these subclasses. Next, the integral preserving properties of a k-integral operator satised by these newly introduced subclasses are obtained. Some applications of the results are discussed. Concluding remarks are also given.

Starlikness Associated with Cosine Hyperbolic Function

The main contribution of this article is to define a family of starlike functions associated with a cosine hyperbolic function. We investigate convolution conditions, integral preserving properties, and coefficient sufficiency criteria for this family. We also study the differential subordinations problems which relate the Janowski and cosine hyperbolic functions. Furthermore, we use these results to obtain sufficient conditions for starlike functions connected with cosine hyperbolic function.

Study on the q-analogue of a certain family of linear operators

Inthispaper, weintroducetheq-analogueofacertainfamilyoflinearoperatorsingeometricfunctiontheory. Our main purpose is to define some subclasses of analytic functions by means of the q-analogue of linear operators and investigate various inclusion relationships with integral preserving properties.

Properties of Spiral-Like Close-to-Convex Functions Associated with Conic Domains

In this paper, our aim is to define certain new classes of multivalently spiral-like, starlike, convex and the varied Mocanu-type functions, which are associated with conic domains. We investigate such interesting properties of each of these function classes, such as (for example) sufficiency criteria, inclusion results and integral-preserving properties.

Subclasses of p-valent meromorphic functions involving certain operator

In this paper we investigate some inclusion relationships of two new subclassses of meromorphically p-valent functions, de ned by means of a linear operator. We also study some integral preserving properties and convolution properties of these classes.

Some Applications of Generalized Srivastava–Attiya Integral Operator

A function analytic and locally univalent in a simply connected domain is of bounded radius rotations if its range has bounded radius rotations which is defined as the total variation of the direction angle of radial vector to the boundary curve under a complete circuit. We use Srivastava–Attiya integral operator to define some new subclasses of analytic functions which map the open unit disk to the domain related with the functions of bounded radius rotation. Some results including inclusion relations, integral preserving properties, and inverse inclusions are studied. We may relate our finding with the existing results found in the literature of the subject.