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Applications of chebyshev polynomials on λ-pseudo bi-starlike and λ-pseudo bi-convex functions with respect to symmetrical points
(Işık University Press, 2020)
The purpose of this work is to use the Chebyshev polynomial expansions to seek upper bounds for the second and third coefficients of functions belongs to a subclass of λ-pseudo bi-starlike and λ-pseudo bi-convex functions ...
Coefficient estimates for new subclasses of meromorphic bi-univalent functions associated with linear operatör
(Işık University Press, 2022)
In this paper, we define a new differential linear operator of meromorphic bi-univalent functions class Σʹ, and obtain the estimates for the coefficients |b₀| and |b₁|. Further we pointed out several new or known consequences ...
Certain subclass of Pascu-type bi-starlike functions in parabolic domain
(Işık University Press, 2021)
Estimates on the coefficients |a2| and |a3| are obtained for normalized analytic function f in the open disk with f and its inverse g = f−1 satisfy the condition that zf0(z) + λz2f00(z)(1 − λ)f(z) + λzf0(z) and zg0(z) + ...
On subclasses of m-fold symmetric bi-univalent functions
(Işık University Press, 2021)
In this study, we introduce and investigate two new subclasses of the biunivalent functions which both f(z) and f⁻1 (z) are m-fold symmetric analytic functions. Among other results, upper bounds for the coefficients |am+1| ...
Initial bounds for certain classes of bi-univalent functions defined by the (p, q)-lucas polynomials
(Işık University Press, 2021)
Our present investigation is motivated essentially by the fact that, in Geometric Function Theory, one can find many interesting and fruitful usages of a wide variety of special functions and special polynomials. The main ...
The Fekete-Szegö problems for a subclass of m-fold symmetric bi-univalent functions
(Işık University Press, 2021)
In this paper, we investigate a new subclass Pʰ˒ᵖ Σm(λ, γ) of m-fold symmetric bi-univalent functions. Moreover, for functions of this subclass, we obtain the coefficient estimates of the Taylor-Maclaurin coefficients ...
On the Chebyshev polynomial coefficient problem of bi-Bazilevič functions
(Işık University Press, 2020)
A function said to be bi-Bazilevič in the open unit disk U if both the function and its inverse are Bazilevič there. In this paper, we will study a newly constructed class of bi-Bazilevič functions. Furthermore, we establish ...
Bounds for initial maclaurin coefficients for a new subclasses of analytic and M-fold symmetric BI-univalent functions
(Işık University Press, 2020)
In the present paper, we introduce and study two new subclasses of the function class Σm consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U. We establish upper bounds for the initial ...
Fekete-Szegö inequality for analytic and bi-univalent functions subordinate to (p, q) −Lucas polynomials
(Işık University Press, 2021)
In this paper, a subclass of analytic and bi-univalent functions by means of (p, q) − Lucas polynomials is introduced. Certain coefficients bounds for functions belonging to this subclass are obtained. Furthermore, the ...
Coeffıcient estimates for bi-univalent ma-minda type functions associated with q-derivative
(Işık University Press, 2021)
In this article, we consider a new subclasses of analytic and bi-univalent functions associated with q-derivative in the open unit disk. We obtain coefficient bounds for the Taylor-Maclaurin coefficients |a2| and |a3| of ...
