Differential Subordination Results for Holomorphic Functions Related to Generalized Differential Operator
نویسندگان
چکیده
In the present investigation, we use principle of subordination to introduce a new family for holomorphic functions defined by generalized differential operator. Also establish some interesting geometric properties belonging this family.
منابع مشابه
Strong differential subordination and superordination of analytic functions associated with Komatu operator
Strong dierential subordination and superordination properties are determined for some familiesanalytic functions in the open unit disk which are associated with the Komatu operator by investigatingappropriate classes of admissible functions. New strong dierential sandwich-type results arealso obtained.
متن کاملDIFFERENTIAL SUBORDINATION AND SUPERORDINATION RESULTS FOR p-VALENT ANALYTIC FUNCTIONS
Using the fractional integral operator D−λ z and generalized SrivastavaAttiya operator J s,b , we introduce and study some differential subordination and superordination results for p-valent analytic functions in the open unit disk. These results are obtained by investigating appropriate classes of admissible functions.
متن کاملDifferential subordination and superordination results associated with the Wright function
An operator associated with the Wright function is introduced in the open unit disk. Differential subordination and superordination results associated with this operator are obtained by investigating appropriate classes of admissible functions. In particular, some inequalities for modified Bessel functions are also obtained.
متن کاملDifferential Subordination and Superordination For Analytic Functions Defined Using A Family Of Generalized Differential Operators
By making use of the generalized differential operator, the authors derive the subordination and superordination results for certain normalized analytic functions in the open unit disk. Many of the well-known and new results are shown to follow as special cases of our results. 1 Preliminaries Let H be the class of functions analytic in the open unit disc U = {z : | z |< 1}. Let H(a, n) be the s...
متن کاملConvolution and Differential Subordination for Multivalent Functions
The general classes of multivalent starlike, convex, close-to-convex and quasiconvex functions are introduced. These classes provide a unified treatment to various known subclasses. Inclusion and convolution properties are derived using the methods of convex hull and differential subordination. 1. Motivation and Preliminaries Let U = {z : |z| < 1} be the unit disk and H(U) be the class of all a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kragujevac journal of mathematics
سال: 2022
ISSN: ['2406-3045', '1450-9628']
DOI: https://doi.org/10.46793/kgjmat2201.115w