Subclasses of univalent functions related with functions of bounded radius rotation

This investigation is in twofold. Firstly, a comprehensive generalization of starlike functions is initiated. This notion gives more insight to the study of functions with bounded radius rotation. In this direction, we examine the geometric characterization of this class, which includes the inclusion, radius results and integral preserving properties. On the other hand, the class of functions that extend the idea of close-toconvex functions is introduced. Also, a necessary condition, radius results, coefficient results and closure property under convex convolution for this novel class are investigated. Overall, some alluring consequences of our results are also presented.Publisher's Versio

Some Properties of Bazilevič Functions Involving Srivastava–Tomovski Operator

We introduce a new class of Bazilevič functions involving the Srivastava–Tomovski generalization of the Mittag-Leffler function. The family of functions introduced here is superordinated by a conic domain, which is impacted by the Janowski function. We obtain coefficient estimates and subordination conditions for starlikeness and Fekete–Szegö functional for functions belonging to the class

Some Properties of Analytic Functions Associated with Conic Type Regions

The main purpose of this investigation is to define new subclasses of analytic functions with respect to symmetrical points. These functions map the open unit disk onto certain conic regions in the right half plane. We consider various corollaries and consequences of our main results. We also point out relevant connections to some of the earlier known developments

Bounds of the initial coefficient for sakaguchi function in the conical domain

In this paper, we consider a new class of sakaguchi type functions which is defined by Ruscheweyh q-differential operator. We investigated of co-efficient inequalities and other interesting properties of this class

Study of quantum calculus for a new subclass of q-starlike bi-univalent functions connected with vertical strip domain

In this study, using the ideas of subordination and the quantum-difference operator, we established a new subclass $\mathcal{S} ^{\ast }\left(\delta, \sigma, q\right)$ of $q$-starlike functions and the subclass $\mathcal{S}_{\Sigma }^{\ast }\left(\delta, \sigma, q\right)$ of $q$-starlike bi-univalent functions associated with the vertical strip domain. We examined sharp bounds for the first two Taylor-Maclaurin coefficients, sharp Fekete-Szegö type problems, and coefficient inequalities for the function $h$ that belong to $\mathcal{S}^{\ast }\left(\delta, \sigma, q\right)$, as well as sharp bounds for the inverse function $h$ that belong to $\mathcal{S}^{\ast }\left(\delta, \sigma, q\right)$. We also investigated some results for the class of bi-univalent functions $\mathcal{S}_{\Sigma }^{\ast }\left(\delta, \sigma, q\right)$ and well-known corollaries were also highlighted to show connections between previous results and the findings of this paper

Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives

In this paper, we introduce and study a new subclass of multivalent functions with respect to symmetric points involving higher order derivatives. In order to unify and extend various well-known results, we have defined the class subordinate to a conic region impacted by Janowski functions. We focused on conic regions when it pertained to applications of our main results. Inclusion results, subordination property and coefficient inequality of the defined class are the main results of this paper. The applications of our results which are extensions of those given in earlier works are presented here as corollaries

Fekete-Szegö Problem of Functions Associated with Hyperbolic Domains

In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their associated functional inequalities have always attracted the researchers. In particular, Fekete-Szegö inequality is one of such vastly studied and investigated functional inequality. Our main focus in this article is to investigate the Fekete-Szegö functional for the class of analytic functions associated with hyperbolic regions. Tofurther enhance the worth of our work, we include similar problems for the inverse functions of these discussed analytic functions

New Subclass of Analytic Functions in Conical Domain Associated with Ruscheweyh q-Differential Operator

In this paper, we consider a new class of analytic functions which is defined by means of a Ruscheweyh q-differential operator. We investigated some new results such as coefficients inequalities and other interesting properties of this class. Comparison of new results with those that were obtained in earlier investigation are given as Corollaries

Some new applications of the quantum-difference operator on subclasses of multivalent q-starlike and q-convex functions associated with the Cardioid domain

In this study, we consider the quantum difference operator to define new subclasses of multivalent $q$-starlike and $q$-convex functions associated with the cardioid domain. We investigate a number of interesting problems for functions that belong to these newly defined classes, such as bounds for the first two Taylor-Maclaurin coefficients, estimates for the Fekete-Szeg ö type functional, and coefficient inequalities. The important point of this article is that all the bounds that we have investigated are sharp. Many well-known corollaries are also presented to demonstrate the relationship between prior studies and the results of this article