Results 61 to 70 of about 5,509 (167)
Initial Coefficient Bounds for Bi-Close-to-Convex Classes of n-Fold-Symmetric Bi-Univalent Functions
AxiomsIn this article, the strong class of bi-close-to-convex functions of order α and β in n-fold symmetric bi-univalent functions, which is the subclass of σ, is introduced.
P. Gurusamy +3 more
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New classes of analytic and bi-univalent functions
AIMS Mathematics, 2021 <abstract><p>Using the (p, q)-derivative operator we introduce new subclasses of analytic and bi-univalent functions, we obtain estimates on coefficients and the Fekete-Szegö functional.</p></abstract>
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Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials
Abstract and Applied Analysis, 2020 The main purpose of this article is to make use of the Horadam polynomials hnx and the generating function Πx,z, in order to introduce three new subclasses of the bi-univalent function class σ.
Chinnaswamy Abirami +2 more
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Estimates for the dilatation of $\sigma$-harmonic mappings
, 2014 We consider planar $\sigma$-harmonic mappings, that is mappings $U$ whose components $u^1$ and $u^2$ solve a divergence structure elliptic equation ${\rm div} (\sigma \nabla u^i)=0$, for $i=1,2$.
Alessandrini, Giovanni, Nesi, Vincenzo
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On Bi-Univalent Function Classes Defined via Gregory Polynomials
MathematicsIn this paper, we introduce and study a new subclass of bi-univalent functions related to Mittag–Leffler functions associated with Gregory polynomials and satisfy certain subordination conditions defined in the open unit disk.
Ibtisam Aldawish +3 more
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Bi-Bazilevič functions of complex order involving Ruscheweyh type q-difference operator
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2018 In this paper, we define a new subclass of bi-univalent functions involving q-difference operator in the open unit disk. For functions belonging to this class, we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|.
Gangadharan Murugusundaramoorthy +1 more
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Cofficient estimates for a general Subclass of bi-univalent functions
Boletim da Sociedade Paranaense de Matemática, 2022 In this paper, we introduce and investigate an interesting subclass ${\cal{S}}^{h,p}_{\Sigma}(A,B,C,\lambda)$ of bi-univalent functions in the open unit disk $\mathbb{U}$. Furthermore, we find estimates on the $|a_2|$ and $|a_3|$ coefficients for functions in this subclass. The coefficient bounds presented here generalize some recent works
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Coefficient Estimates for Subclasses of Bi-Univalent Functions
Journal of Al-Qadisiyah for Computer Science and Mathematics, 2018 In the present paper, we introduce two new subclasses of the class consisting of analytic and bi-univalent functions in the open unit disk . Also, we obtain the estimates on the Taylor-Maclurin coefficients and for functions in these subclasses. We obtain new special cases for our results.
Waggas Galib Atshan, Rajaa Ali Hiress
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On a new subclass of bi-univalent functions
Journal of the Egyptian Mathematical Society, 2013 The authors use the Sălăgean derivative to define two classes of bi-univalent function. Furthermore, they obtain estimates of \(|a_2|\) and \(|a_3|\) for the functions \(f(z)=z+\sum_{i=2}^\infty a_i z^i\) in those classes.
Porwal, Saurabh, Darus, M.
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Bi-Univalent Functions of Complex Order Defined by Hohlov Operator Associated with $(\mathcal {P,Q})-$Lucas Polynomial [PDF]
Sahand Communications in Mathematical AnalysisOn this study, two new subclasses of the function class $\Xi$ of bi-univalent functions of complex order defined in the open unit disc are introduced and investigated.
Elumalai Muthaiyan
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