Coefficient Estimates for Certain New Subclasses of Starlike Functions of Complex Order (communicated by Hari Srivastava)
نویسندگان
چکیده
In the present paper, we consider the coefficient estimates for functions in certain new subclasses of starlike and convex functions of complex order γ, which are introduced by means of a generalized differential operator and non-homogeneous Cauchy-Euler type differential equation. Several corollaries and consequences of the main results are also obtained.
منابع مشابه
Some properties and results for certain subclasses of starlike and convex functions
In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $; meromorphic and starlike functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.
متن کاملCoefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain
The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}right vert $ for functions in these new subclasses. We consider various corollaries and consequen...
متن کاملIdentification of Initial Taylor-Maclaurin Coefficients for Generalized Subclasses of Bi-Univalent Functions
In the present work, the author determines some coefficient bounds for functions in a new class of analytic and bi-univalent functions, which are introduced by using of polylogarithmic functions. The presented results in this paper one the generalization of the recent works of Srivastava et al. [26], Frasin and Aouf [13] and Siregar and Darus [25].
متن کاملNeighborhoods of a class of analytic functions with negative coefficients
The main object of this paper is to prove several inclusion relations associated with the (n, δ) neighborhoods of various subclasses of starlike and convex functions of complex order by making use of the known concept of neighborhoods of analytic functions. Special cases of some of these inclusion relations are shown to yield known results.
متن کاملSubclasses of Starlike Functions Involving Srivastava-attiya Integral Operator
Making use of the generalized Srivastava-Attiya integral operator, we define a new subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for f ∈ TS b (α, β, γ, A,B). In particular, we obtain modified Hadamard product results for the function f(z) belongs to...
متن کامل