This article comprises the study of strongly starlike functions which are defined by using concept subordination. The function φ φ(ζ)=(1+ζ)λ, 0<λ<1 maps open unit disk in complex plane to a domain symmetric with respect real axis right-half plane. Using this mapping, we obtain some radius results for family functions. It is worth noting that all presented sharp.

1. I N T R O D U C T I O N Ordering of graphs with respect to the number of matchings, and finding the graphs extremal with regard to this property, has been the topic of several earlier works [1-4]. These results have chemical applications, in connection with the so-called total 1r-electron energy [5-7]. Let G be a graph without loops and multiple edges. For k being a positive integer, m ( G ,...

This paper is related to notions adapted from fuzzy set theory the field of complex analysis, namely differential subordinations. work aims present new subordinations for which best dominant and subordinate are given, respectively. The original theorems proved in generate interesting corollaries particular choices functions acting as dominant. Here, this article, subordination results obtained ...

In this lecture, we aim at presenting a certain linear operator which is defined by means of the Hadamard product (or convolution) with a generalized hypergeometric function and then investigating its various mapping as well as inclusion properties involving such subclasses of analytic and univalent functions as (for example) k-uniformly convex functions and k-starlike functions. Relevant conne...

In this study, by using the concepts of subordination, we define a new family RM,N,λ,γ starlike functions complex order γ connected with cardioid domain. The main contribution article consists derivations sharp inequality, considering belonging to in U. Particularly, bounds first two Taylor–Maclaurin coefficients, estimates Fekete–Szegö-type functionals, and coefficient inequalities are investi...

and Applied Analysis 3 In contrast to the modified Roper-Suffridge extension operator in the unit ball, it is natural to ask if we can modify the Roper-Suffridge extension operator on the Reinhardt domains. In this paper, we will introduce the following modified operator: F z ⎛ ⎝f z1 f ′ z1 n ∑ j 2 ajz pj j , ( f ′ z1 2z2, . . . , ( f ′ z1 nzn ⎞ ⎠ ′ 1.5 on the Reinhardt domainΩn,p2,...,pn . Wew...

Assume that $mathbb{D}$ is the open unit disk. Applying Ozaki's conditions, we consider two classes of locally univalent, which denote by $mathcal{G}(alpha)$ and $mathcal{F}(mu)$ as follows begin{equation*}  mathcal{G}(alpha):=left{fin mathcal{A}:mathfrak{Re}left( 1+frac{zf^{prime prime }(z)}{f^{prime }(z)}right) <1+frac{alpha }{2},quad 0<alphaleq1right}, end{equation*} and begin{equation*}  ma...

The main purpose of the present paper is to derive a new criterion for mul-tivalent starlike functions by applying Jack's lemma.