Non-Tangential Limits of Slowly Growing Analytic Functions

2007 ◽  
Vol 8 (1) ◽  
pp. 85-99
Author(s):  
Karl F. Barth ◽  
Philip J. Rippon
Keyword(s):  
Analytic Functions ◽  
Tangential Limits

scholarly journals Boundary values of analytic functions without distributional point values

2004 ◽  
Vol 35 (1) ◽  
pp. 53-60 ◽  
Author(s):  
Ricardo Estrada
Keyword(s):  
Analytic Functions ◽  
Boundary Values ◽  
Tangential Limits

We give a method to construct distributions that are boundary values of analytic functions which have non-tangential limits at points where the distributional point value does not exist.

Tangential Limits for Certain Classes of Analytic Functions

Mathematika ◽  
1989 ◽  
Vol 36 (1) ◽  
pp. 39-49 ◽  
Author(s):  
J. B. Twomey
Keyword(s):  
Analytic Functions ◽  
Tangential Limits

Non-Tangential Limits for Analytic Functions of Slow Growth in a Disc

1992 ◽  
Vol s2-46 (1) ◽  
pp. 140-148 ◽  
Author(s):  
Daniel Girela
Keyword(s):  
Analytic Functions ◽  
Slow Growth ◽  
Tangential Limits

Radial variation of analytic functions with non-tangential boundary limits almost everywhere

1990 ◽  
Vol 108 (2) ◽  
pp. 371-379 ◽  
Author(s):  
D. J. Hallenbeck ◽  
K. Samotij
Keyword(s):  
Analytic Function ◽  
Asymptotic Behaviour ◽  
Unit Disk ◽  
Analytic Functions ◽  
Radial Variation ◽  
The Third ◽  
Almost Everywhere ◽  
Image Position ◽  
Boundary Limits ◽  
Tangential Limits

The purpose of this paper is to investigate the asymptotic behaviour as r → 1− of the integralsand f is an analytic function on the unit disk Δ which has non-tangential limits at almost every point on ∂Δ. The paper is divided into three parts. In the first part we consider the case where λ ≠ 1/k, in the second the somewhat more delicate case when λ = 1/k and in the third part we concentrate on some problems related to the case λ = k = 1.

Distributional boundary values of analytic functions and positive definite distributions

2015 ◽  
Vol 20 (2) ◽  
pp. 210-225
Author(s):  
Saulius Norvidas ◽  
Keyword(s):  
Analytic Functions ◽  
Positive Definite ◽  
Boundary Values

A system of functions biorthogonal with the derivatives of Chebyshev second-kind polynomials of a complex variable

2020 ◽  
Vol 17 (2) ◽  
pp. 256-277
Author(s):  
Ol'ga Veselovska ◽  
Veronika Dostoina
Keyword(s):  
Complex Plane ◽  
Complex Variable ◽  
Analytic Functions ◽  
Combinatorial Identities ◽  
Independent Interest ◽  
Closed Curves ◽  
In Series ◽  
Derivatives Of

For the derivatives of Chebyshev second-kind polynomials of a complex vafiable, a system of functions biorthogonal with them on closed curves of the complex plane is constructed. Properties of these functions and the conditions of expansion of analytic functions in series in polynomials under consideration are established. The examples of such expansions are given. In addition, we obtain some combinatorial identities of independent interest.

A NEW SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY OPOOLA DIFFERENTIAL OPERATOR

2020 ◽  
Vol 9 (8) ◽  
pp. 5343-5348 ◽  
Author(s):  
T. G. Shaba ◽  
A. A. Ibrahim ◽  
M. F. Oyedotun
Keyword(s):  
Differential Operator ◽  
Analytic Functions

AN APPLICATION OF PASCAL DISTRIBUTION SERIES ON CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS

2020 ◽  
Vol 9 (3) ◽  
pp. 1433-1443
Author(s):  
K. Vijaya ◽  
V. Malathi
Keyword(s):  
Analytic Functions ◽  
Pascal Distribution
Sign in / Sign up

Export Citation Format

Share Document