Results 81 to 90 of about 3,690,143 (190)

Fekete-Szego problem for certain classes of Ma-Minda bi-univalent functions

, 2016
In the present work, we propose to investigate the Fekete-Szego inequalities certain classes of analytic and bi-univalent functions defined by subordination.
BALAJİ, V K, ORHAN, Halit, Magesh, N.
core   +1 more source

An extremal problem for univalent functions [PDF]

Let S be the class of functions f(z)=z+a2z2 ,… f(0)=0, f′(0)=1 which are regular and univalent in the unit disk |z| x the equation φ′( x)=0 does not have real roots. Since S is a compact class, there exists x . This problem was first proposed by Petru T.
Miodrag IOVANOV
core  

Faber polynomial coefficient bounds for a subclass of bi-univalent functions

, 2015
In this work, considering a general subclass of bi-univalent functions and using the Faber polynomials, we obtain coefficient expansions for functions in this class.
Altınkaya, Şahsene, Yalçın, Sibel
core   +2 more sources

On a subclass of analytic functions involving harmonic means

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In the present paper, we consider a generalised subclass of analytic functions involving arithmetic, geometric and harmonic means. For this function class we obtain an inclusion result, Fekete-Szegö inequality and coefficient bounds for bi-univalent ...
Tudor Andreea-Elena, Rǎducanu Dorina
doaj   +1 more source

Certain Subclasses of Analytic and Bi-Univalent Functions Involving Double Zeta Functions [PDF]

, 2012
In the present paper, we introduce two new subclasses of the functions class Σ of bi-univalent functions involving double zeta functions in the open unit disc U={z:zEC, |z|<1}.
Siregar, Saibah; Faculty of Science and Biotechnology, University Selangor, Malaysia, Raman, Sintuja; Faculty of Science and Biotechnology, University Selangor, Malaysia   +1 more
core   +1 more source

Novel Bi-Univalent Subclasses Generated by the q-Analogue of the Ruscheweyh Operator and Hermite Polynomials

Mathematics
This work introduces new bi-univalent function classes defined using the fractional q-Ruscheweyh operator and characterized by subordination to q-Hermite polynomials.
Feras Yousef, Tariq Al-Hawary, Mohammad El-Ityan, Ibtisam Aldawish   +3 more
doaj   +1 more source

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, Serap Bulut   +1 more
doaj   +1 more source

Subclasses of Bi-Univalent Functions of Complex Order Based on Subordination Conditions Involving Wright Hypergeometric Functions

Journal of Mathematical and Fundamental Sciences, 2015
In this paper, we introduce and investigate a new subclass of bi-univalent functions Σ of complex order dened in the open unit disk, which are associated with hypergeometric functions and satisfying subordinate conditions. Furthermore, we nd estimates on
Gangadharan Murugusundaramoorthy
doaj   +1 more source

Initial Coefficient Bounds for Bi-Close-to-Convex Classes of n-Fold-Symmetric Bi-Univalent Functions

In 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.
L. I. Cotirla, M. Çağlar, P. Gurusamy, S. Sivasubramanian   +3 more
core   +1 more source

Bounds for the second Hankel determinant of certain bi-univalent functions

, 2016
We investigate the second Hankel determinant inequalities for a certain class of analytic and bi-univalent functions.
ORHAN, Halit, Magesh, Nanjundan, Yamini, Jagadeesan   +2 more
core   +1 more source