Results 81 to 90 of about 242 (173)

Toeplitz Determinants for Inverse of Analytic Functions

Mathematics
Estimates bounds for Carathéodory functions in the complex domain are applied to demonstrate sharp limits for the inverse of analytic functions. Determining these values is considered a more difficult task compared to finding the values of analytic ...
Sarem H. Hadi, Yahea Hashem Saleem, Alina Alb Lupaş, Khalid M. K. Alshammari, Abdullah Alatawi   +4 more
doaj   +1 more source

What is a vector Hankel determinant

Linear Algebra and its Applications, 1998
The aim of the paper under review is to give, under some assumptions, a necessary and sufficient condition that the following system \[ \sum_{j=1}^n x_j a_{i,j} = b_i, \] where \(i=1,\dots,n\), and the \(a_{i,j}\)'s and the \(b_i\)'s are in a euclidean vector space \(V\) of dimension \(n\), has one and only one solution.
openaire   +1 more source

Estimate of functional inequalities for a family of holomorphic functions subordinated to a C-shaped domain

Scientific African
In this paper, we introduce a new geometric domain with a C-shaped structure and demonstrate its properties of Ma-Minda families. This new domain exhibits regular analytic behavior.
Sarem H. Hadi, Adel Salim Tayyah, Adel A. Attiya   +2 more
doaj   +1 more source

Sharp Bounds on Hankel Determinant of q-Starlike and q-Convex Functions Subordinate to Secant Hyperbolic Functions

Fractal and Fractional
In the present paper, using the q-difference operator, we introduce two classes of q-starlike functions and q-convex functions subordinate to secant hyperbolic functions. As functions in these classes have unique characteristic of missing coefficients on
Lifen Zhang, Zhigang Wang, Lei Shi
doaj   +1 more source

On Hankel Determinant Inequalities

International Journal For Multidisciplinary Research
This article aims to obtain the second Hankel determinant inequalities for the inverse of the well-known classes of univalent functions, namely, starlike and convex functions.
openaire   +1 more source

Sharp Functional Inequalities for Starlike and Convex Functions Defined via a Single-Lobed Elliptic Domain

Mathematics
In this paper, we introduce two novel subclasses of analytic functions, namely, starlike and convex functions of Ma–Minda-type, associated with a newly proposed domain.
Adel Salim Tayyah, Sarem H. Hadi, Abdullah Alatawi, Muhammad Abbas, Ovidiu Bagdasar   +4 more
doaj   +1 more source

Second Hankel Determinants for the Class of Typically Real Functions

Abstract and Applied Analysis, 2016
We discuss the Hankel determinants H2(n)=anan+2-an+12 for typically real functions, that is, analytic functions which satisfy the condition Im ⁡z Im⁡f(z)≥0 in the unit disk Δ. Main results are concerned with H2(2) and H2(3).
Paweł Zaprawa
doaj   +1 more source

Further developments of the extended quadrature method of moments to solve population balance equations. [PDF]

Heliyon, 2023
Turan M, Dutta A.
europepmc   +1 more source

Bounds for the Second Hankel Determinant and Its Inverse in Specific Function Classes

Axioms
This paper presents a newly defined subclass of analytic functions and explores several significant properties within the class, which use for their definitions the q-analogues of the derivative and the subordinations. Thus, we tried to connect different
Trailokya Panigrahi, Teodor Bulboacă, Shiba Prasad Dhal   +2 more
doaj   +1 more source

Continued fraction expansions of Herglotz-Nevanlinna functions and generalized indefinite strings of Stieltjes type. [PDF]

Bull Lond Math Soc, 2022
Eckhardt J.
europepmc   +1 more source