Applications Laguerre Polynomials for Families of Bi-Univalent Functions Defined with (p,q)-Wanas Operator
نویسندگان
چکیده
In current manuscript, using Laguerre polynomials and (p−q)-Wanas operator, we identify upper bounds a2 a3 which are first two Taylor-Maclaurin coefficients for a specific bi-univalent functions classes W∑(η,δ,λ,σ,θ,α,β,p,q;h) K∑(ξ,ρ,σ,θ,α,β,p,q;h) cover the convex starlike functions. Also, discuss Fekete-Szegö type inequality defined class.
منابع مشابه
Horadam Polynomials Estimates for $lambda$-Pseudo-Starlike Bi-Univalent Functions
In the present investigation, we use the Horadam Polynomials to establish upper bounds for the second and third coefficients of functions belongs to a new subclass of analytic and $lambda$-pseudo-starlike bi-univalent functions defined in the open unit disk $U$. Also, we discuss Fekete-Szeg$ddot{o}$ problem for functions belongs to this subclass.
متن کاملBi-concave Functions Defined by Al-Oboudi Differential Operator
The purpose of the present paper is to introduce a class $D_{Sigma ;delta }^{n}C_{0}(alpha )$ of bi-concave functions defined by Al-Oboudi differential operator. We find estimates on the Taylor-Maclaurin coefficients $leftvert a_{2}rightvert $ and $leftvert a_{3}rightvert$ for functions in this class. Several consequences of these results are also pointed out in the form of corollaries.
متن کاملCoefficient Estimates for a Subclass of Bi-univalent Functions Defined by Salagean Operator Using Quasi Subordination
In this present investigation, we consider the subclass of analytic and bi-univalent functions associated with salagean operator consisting of the function class Σ in the unit open disk, which satisfies the qusi-subordination conditions. Also we obtain the first two Taylor-Maclaurin coefficients for functions in this new subclass. Mathematics Subject Classification: 30C45, 30C50
متن کاملCertain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator
In this paper, we introduce and investigate two new subclasses of the functions class $ Sigma $ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We estimate the coefficients $|a_{2} |$ and $|a_{3} |$ for functions in these new subclasses. Several consequences of the result are also pointed out.
متن کاملFaber polynomial coefficient estimates for bi-univalent functions defined by subordinations
A function is said to be bi-univalent on the open unit disk D if both the function and its inverse are univalent in D. Not much is known about the behavior of the classes of bi-univalent functions let alone about their coefficients. In this paper we use the Faber polynomial expansions to find coefficient estimates for four well-known classes of bi-univalent functions which are defined by subord...
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: Axioms
سال: 2023
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms12050430