Results 11 to 20 of about 194 (74)

Toeplitz matrices whose elements are coefficients of Bazilevič functions

open access: yesOpen Mathematics, 2018
We consider the Toeplitz matrices whose elements are the coefficients of Bazilevič functions and obtain upper bounds for the first four determinants of these Toeplitz matrices.
Radhika Varadharajan   +3 more
doaj   +1 more source

Differential subordination and convexity criteria of integral operators

open access: yesOpen Mathematics, 2017
A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk.
Chandrashekar R.   +2 more
doaj   +1 more source

A generalized Schwarz lemma for two domains related to μ-synthesis

open access: yesComplex Manifolds, 2018
We present a set of necessary and sufficient conditions that provides a Schwarz lemma for the tetrablock E. As an application of this result, we obtain a Schwarz lemma for the symmetrized bidisc G2.
Pal Sourav, Roy Samriddho
doaj   +1 more source

Coefficient estimates for new subclasses of Ma-Minda bi-univalent functions

open access: yesJournal of Inequalities and Applications, 2013
In this paper, we introduce and investigate two new subclasses Hσμ(λ,φ) and Mσγ(λ,μ,φ) of Ma-Minda bi-univalent functions defined by using subordination in the open unit disk D={z∈C:|z|
Huo Tang, Guantie Deng, Shuhai Li
semanticscholar   +1 more source

The Fekete-Szegö functional problems for some subclasses of m-fold symmetric bi-univalent functions

open access: yes, 2016
In this paper, we introduce several new subclasses of the class of m -fold symmetric bi-univalent functions and obtain estimates of the Taylor-Maclaurin coefficients |am+1| , |a2m+1| and Fekete-Szegö functional problems for functions in these new ...
Huo Tang   +3 more
semanticscholar   +1 more source

Starlike Functions With Respect to a Boundary Point Connected With Bounded Radius Rotation

open access: yesJournal of Function Spaces
In the current article, we introduce a new subclass of univalent function with bounded radius rotation. For this new class, the authors establish many interesting relations between these classes and existing classes.
A. Alburaikan   +4 more
semanticscholar   +1 more source

Coefficient estimates for some subclasses of m-fold symmetric bi-univalent functions

open access: yes, 2018
In the present investigation, we consider two new general subclasses HΣm(τ, γ;α) and HΣm(τ, γ;β) of Σm consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U. For functions belonging to the two classes introduced here,
H. Srivastava   +2 more
semanticscholar   +1 more source

On a local version of Jack’s lemma

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
The purpose of this paper is to provide a result which concerns with the boundary behavior of analytic functions. It may be a local version of the well known Jack’s lemma when we change the function normalization at the origin.
Nunokawa Mamoru, Sokół Janusz
doaj   +1 more source

Some operators of fractional calculus and their applications regarding various complex functions analytic in certain domains

open access: yesStudia Universitatis Babeş-Bolyai. Mathematica
. In this academic research note, some familiar operators prearranged by fractional-order calculus will first be introduced and various characteristic properties of those operators will next be propounded.
Hüseyin Irmak
semanticscholar   +1 more source

Hankel and symmetric Toeplitz determinants for Sakaguchi starlike functions

open access: yesStudia Universitatis Babeş-Bolyai. Mathematica
. In this paper, we consider the class of starlike functions with respect to symmetric points which are also known as Sakaguchi starlike functions. We de- termine best possible bounds on Zalcman conjecture |a_n^2 – a_(2n-1) | and generalized Zalcman ...
Sushil Kumar   +2 more
semanticscholar   +1 more source

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