[HTML][HTML] New subclasses of bi-univalent functions

BA Frasin, MK Aouf - Applied Mathematics Letters, 2011 - Elsevier
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[HTML][HTML] Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions

RM Ali, SK Lee, V Ravichandran… - Applied Mathematics …, 2012 - Elsevier
Estimates on the initial coefficients are obtained for normalized analytic functions f in the
open unit disk with f and its inverse g= f− 1 satisfying the conditions that zf′(z)/f (z) and …

[HTML][HTML] Coefficient estimates for a certain subclass of analytic and bi-univalent functions

QH Xu, YC Gui, HM Srivastava - Applied mathematics letters, 2012 - Elsevier
In this paper, we introduce and investigate an interesting subclass HΣh, p of analytic and bi-
univalent functions in the open unit disk U. For functions belonging to the class HΣh, p, we …

Applications of the q-Srivastava-Attiya Operator Involving a Certain Family of Bi-Univalent Functions Associated with the Horadam Polynomials

HM Srivastava, AK Wanas, R Srivastava - Symmetry, 2021 - mdpi.com
In this article, by making use of the q-Srivastava-Attiya operator, we introduce and
investigate a new family SW Σ (δ, γ, λ, s, t, q, r) of normalized holomorphic and bi-univalent …

A certain general subclass of analytic and bi-univalent functions and associated coefficient estimate problems

QH Xu, HG **ao, HM Srivastava - Applied Mathematics and Computation, 2012 - Elsevier
Motivated essentially by the recent works of Srivastava et al.[10], Frasin and Aouf [6], Xu et
al.[15], and other authors, the authors of the present sequel investigate the coefficient …

Coefficient estimates for a general subclass of analytic and bi-univalent functions

HM Srivastava, S Bulut, M Çağlar, N Yağmur - Filomat, 2013 - JSTOR
In this paper, we introduce and investigate an interesting subclass 𝒩 Σ h, p (λ, μ) of analytic
and bi-univalent functions in the open unit disk 𝕌. For functions belonging to the class 𝒩 Σ h …

Fekete‐Szegö Inequality for Analytic and Biunivalent Functions Subordinate to Gegenbauer Polynomials

A Amourah, BA Frasin… - Journal of Function …, 2021 - Wiley Online Library
In the present paper, a subclass of analytic and biunivalent functions by means of
Gegenbauer polynomials is introduced. Certain coefficients bound for functions belonging to …

Certain subclasses of bi-univalent functions associated with the Horadam polynomials

HM Srivastava, Ş Altınkaya, S Yalçın - Iranian journal of science and …, 2019 - Springer
Abstract In Geometric Function Theory, there have been many interesting and fruitful usages
of a wide variety of special functions and special polynomials. Here, in this article, we …

[PDF][PDF] Certain subclasses of bi-univalent functions satisfying subordinate conditions

E Deniz - J. Class. Anal, 2013 - researchgate.net
SΣ (λ, γ; ϕ), HS Σ (α), RΣ (η, γ; ϕ) and BΣ (μ; ϕ)(0⩽ λ⩽ 1; γ∈ C {0}; α∈ C; 0⩽ η< 1; μ⩾ 0) of
bi-univalent functions, ϕ is an analytic function with positive real part in the unit disk D …

Coefficient bounds for new subclasses of bi-univalent functions

M Cağlar, H Orhan, N Yağmur - Filomat, 2013 - JSTOR
Coefficient bounds for new subclasses of bi-univalent functions Page 1 Filomat 27:7 (2013),
1165–1171 DOI 10.2298/FIL1307165C Published by Faculty of Sciences and Mathematics …