Certain Sharp Coefficient Results on a Subclass of Starlike Functions Defined by the Quotient of Analytic Functions
نویسندگان
چکیده
In the present paper, we consider a subclass of starlike functions G3/2 defined by ratio analytic representations convex and functions. The main aim is to determine bounds Fekete–Szegö-type inequalities Hankel determinants for in this class. It proved that maxH3,1(f):f∈G3/2 equal 181. f∈G3/2 are sharp.
منابع مشابه
On sufficient condition to be in a certain subclass of starlike functions defined by subordination
An interesting criterion was given by Tuneski [N. Tuneski, On the quotient of the representations of convexity and starlikeness, Math. Nachr. 248–249 (2003) 200–203] for the analytic functions to be in the class S 1⁄21þAz 1þBz and its subclasses, where 1 6 B < A 6 1. This result is an extension of an earlier result of Silverman [H. Silverman, Convex and starlike criteria, Int. Math. Math. Sci. ...
متن کاملA Subclass of Analytic Functions Associated with Hypergeometric Functions
In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.
متن کاملOn a Subclass of Certain Starlike Functions with Negative Coefficients
A certain subclass TΩ(n, p, λ, α)of starlike functions in the unit disk is introduced. The object of the present paper is to derive several interesting properties of functions belonging to the class TΩ(n, p, λ, α). Coefficient inequalities, distortion theorems and closure theorems of functions belonging to the class TΩ(n, p, λ, α) are determined. Also we obtain radii of convexity for the class ...
متن کاملOn a Certain Subclass of Starlike Functions with Negative Coefficients
We introduce the class H(α, β) of analytic functions with negative coefficients. In this paper we give some properties of functions in the class H(α, β) and we obtain coefficient estimates, neighborhood and integral means inequalities for the function f(z) belonging to the class H(α, β). We also establish some results concerning the partial sums for the function f(z) belonging to the class H(α,...
متن کاملCertain subclass of $p$-valent meromorphic Bazilevi'{c} functions defined by fractional $q$-calculus operators
The aim of the present paper is to introduce and investigate a new subclass of Bazilevi'{c} functions in the punctured unit disk $mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the func...
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: Fractal and fractional
سال: 2023
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract7020195