Results 231 to 240 of about 317,748 (260)

Classes and Boundary Properties of Functions in the Open Unit Disk

Proceedings of the Bulgarian Academy of Sciences, 2022
Let \(\psi\) be a Blaschke product and \(d\theta(\mathop{\rm supp}\psi)=0\). In this paper we prove that the functions of Bourgain algebra \( (\psi H^\infty (D), L^\infty (D))_b \) have essential non-tangential limit at almost every point of \(T=\{z:\mid z\mid = 1\}\).
openaire   +1 more source

Boundary value theorems for meromorphic functions defined in the open unit disk

Lecture Notes in Mathematics, 1974
openaire   +3 more sources

On a new type of singular point for meromorphic functions in the open unit disk

Mathematische Nachrichten, 2013
In this note, we will confirm the existence of a new type of singular point of an admissible meromorphic function in the unit disk. This work is a counterpart of the result of a meromorphic function with order in the complex plane studied by W. C. Lin and S. Mori.
Wu, Nan, Xuan, Zuxing
openaire   +1 more source

Certain properties of analytic fractional functions on the open unit disk

Journal of Interdisciplinary Mathematics
This research paper introduces a new generalization of the normalized fractional differential operator, which opens a new direction in our research area. We utilize this new operator to establish a subclass of univalent functions. Also, various characteristics of this subclass, including coefficient inequality and some topological properties in the ...
Zainab Esa Abdulnaby, Waqas Battal Jubair   +1 more
openaire   +1 more source

Open unit disk zeros of scalar stable discrete time transfer functions: Implications for feedback design

[1991] Proceedings of the 30th IEEE Conference on Decision and Control, 2002
The authors investigate the way in which open unit disk zeros of a scalar stable discrete-time transfer function influence overshoot in the time-domain step response. Feedback design implications are discussed and illustrated by a simple example. >
B.A. Leon de Ia Barra S., G.C. Goodwin
openaire   +1 more source

Operator Inequalities Involved Wiener–Hopf Problems in the Open Unit Disk

2019
In this effort, we employ some of the linear differential inequalities to achieve integral inequalities of the type Wiener–Hopf problems (WHP). We utilize the concept of subordination and its applications to gain linear integral operators in the open unit disk that preserve two classes of analytic functions with a positive real part.
openaire   +1 more source

On the structure of the matrix in Sturm algorithm for determining the number of zeros in the open unit disk for a real polynomial

STUDIES IN ENGINEERING AND EXACT SCIENCES
In 1984, C.W Schelin presented a numerical method for calculating the number of zeros of a real polynomial inside the unit disk using the argument principle and Cauchy index on [-1, 1] inspired by sturm’s algorithm [3], this method is based on calculation of the generalized Sturm sequence in Chebyshev form, however in some cases this algorithm does not
Naima Benmokhtar, Abderrahmane Larabi
openaire   +1 more source

Normalized Symmetric Differential Operators in the Open Unit Disk

2022
openaire   +1 more source

Harmonic functions on the open unit disk

2016
Emmanuel Fricain, Javad Mashreghi
openaire   +1 more source

Coefficient bounds concerning certain generalized subclasses of analytic and univalent functions in the open unit disk

Science Focus Journal, 2021
openaire   +1 more source