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Some m-fold symmetric bi-univalent function classes and their associated Taylor-Maclaurin coefficient bounds
The Ruscheweyh derivative operator is used in this paper to introduce and investigate interesting general subclasses of the function class
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Subclasses of bi-univalent functions subordinate to gegenbauer polynomials
In the present paper, we introduce three new classes of bi-univalent functions defined by means of Gegenbauer polynomials. For functions in each of...
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Sharp Initial Coefficient Bounds and the Fekete–Szegő Problem for Some Subclasses of Analytic and Bi-Univalent Functions
We introduce two new subclasses U Σ ( α , λ ) and ℬ 1Σ (α) of analytic bi-univalent functions defined in an open unit disk 𝕌, which are associated with the...
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The second Hankel determinant problem for a certain subclass of bi-univalent functions
In this paper, we give upper bound for the second Hankel determinant for a certain subclass of bi-univalent functions, which are defined in the open...
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On some new subclasses of bi-univalent functions defined by generalized Bivariate Fibonacci polynomial
In this paper, two new subclasses of bi-univalent functions are introduced by using generalized Bivariate Fibonacci polynomials. First, initial...
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The second Hankel determinant for subclasses of Bi-univalent functions associated with a nephroid domain
In the present paper, we obtain the estimates for the first two initial Taylor-Maclaurin coefficients and for the upper bounds of the Fekete-Szegö...
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A new characterization of (P, Q)-Lucas polynomial coefficients of the bi-univalent function class associated with q-analogue of Noor integral operator
In this study, by using Lucas polynomials, subordination and q -analogue of Noor integral operator, we will introduce an interesting new class
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A Subclass of Pseudo-Type Meromorphic Bi-Univalent Functions of Complex Order Associated with Linear Operator
In this article, we construct a new subclass of pseudo-type meromorphic bi-univalent function class of complex order, associated with linear operator...
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The study of coefficient estimates and Fekete–Szegö inequalities for the new classes of m-fold symmetric bi-univalent functions defined using an operator
The objective of this paper is to introduce new classes of m-fold symmetric bi-univalent functions. We discuss estimates on the Taylor–Maclaurin...
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Fekete–Szegö inequality for bi-univalent functions by means of Horadam polynomials
In this paper, make use of the Horadam polynomials, we introduce a comprehensive subclass of analytic and bi-univalent functions. For functions...
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New subclasses of analytic and bi-univalent functions endowed with coefficient estimate problems
Inspired by the recent works of Srivastava et al. (Appl Math Lett 23(10):1188–1192, 2010), Frasin and Aouf (Appl Math Lett 24(9):1569–1573, 2011),...
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\((\mathfrak {P}, \mathcal {Q})\)-Lucas polynomial coefficient relations of bi-univalent functions defined by the combination of Opoola and Babalola differential operators
In the discipline of geometric function theory, Lucas polynomials and other special polynomials have recently acquired traction. We establish a new...
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Certain classes of bi-univalent functions related to Shell-like curves connected with Fibonacci numbers
In 2010, Srivastava et al. [
38 ] revived the study of coefficient problems for bi-univalent functions. Due to the pioneering work of Srivastava et al....