Two New Subclasses of Bi-Univalent Functions

By Xiao-fei Li, An-ping Wang. 2012

123 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/971575aae7fdb84933d8bd29d53711ee76d55b7a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Faber polynomial coefficient bounds for a subclass of bi-univalent functions (2015, background): “Recently, many authors investigated bounds for various subclasses of bi-univalent functions ([5], [10], [13], [18], [19], [21], [24], [27], [28], [29]).”
Initial coefficient bounds for a general class of bi-univalent functions (2013, background): “We note that (1) NP(1,1) Σ (0, α) = H α Σ (see [14]) (2) NP Σ (0, α) = BΣ(α, λ) (see [6]) (3) NP Σ (0, α) = FΣ(α) (see [10]) (4) NP Σ (0, α) = N μ Σ(α) (see [13]) (5) NP Σ (0, α) = N μ,λ Σ (α) (see [5]).”
Coefficient estimates for a subclass of analytic and bi-univalent functions (2015, result): “In fact, judging by the remarkable flood of papers on non-sharp estimates on the first two coefficients ja2j and ja3j of various subclasses of the bi-univalent function class R (see, for example, [19–30,35,31–34,15,36–38]), the above-cited recent pioneering work of Srivastava et al.”
New subclasses of analytic and bi-univalent functions endowed with coefficient estimate problems (2018, background): “[7], and others (see, for example, [11, 14] and [15]).”
Coefficient estimates for a general subclass of analytic and bi-univalent functions of the Ma–Minda type (2017, unknown): “[9, 10], Hayami and Owa [6], and others (see, for example, [5], [7] and [11]).”
Certain subclasses of bi-univalent functions associated with the Hohlov operator (2013, background): “Following Brannan and Taha [3], many researchers (see [6, 7, 11, 14, 16, 17]) have recently introduced and investigated several interesting subclasses of the bi-univalent function class Σ and they have found non-sharp estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|.”
Coefficient Bounds for a Certain Class of Analytic and Bi-Univalent Functions (2015, background): “In fact, judging by the remarkable flood of papers on the subject (see, for example, [5–7, 9–12, 15–17, 19–21, 23, 26, 27, 29, 30]), the recent pioneering work of Srivastava et al.”
Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials (2018, result): “tion class Σ were introduced and non-sharp estimates on the ﬁrst two coeﬃcients |a2| and |a3| in the Taylor-Maclaurin series expansion (1.1) were found in the recent investigations (see, for example, [1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23]) and including the referen”
Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers (2018, background): “Several authors have introduced and investigated subclasses of bi-univalent functions and obtained bounds for the initial coefficients (see [1, 2, 8, 12, 13, 14]).”
Bounds for the second Hankel determinant of certain bi-univalent functions (2015, background): “The class was introduced and studied by Li and Wang [16], further the study was extended by Ali et al. [2].”