scholarly journals On covering numbers of sublevel sets of analytic functions

2010 ◽  
Vol 162 (1) ◽  
pp. 72-93 ◽  
Author(s):  
Alexander Brudnyi
Keyword(s):  
Analytic Functions ◽  
Covering Numbers ◽  
Sublevel Sets

scholarly journals Local dimension-free estimates for volumes of sublevel sets of analytic functions

2003 ◽  
Vol 133 (1) ◽  
pp. 269-283 ◽  
Author(s):  
F. Nazarov ◽  
M. Sodin ◽  
A. Volberg
Keyword(s):  
Analytic Functions ◽  
Local Dimension ◽  
Sublevel Sets

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

ON MONOTONIC AND ANALYTIC FUNCTIONS IN C ∞

1997 ◽  
Vol 23 (2) ◽  
pp. 697
Author(s):  
Cater
Keyword(s):  
Analytic Functions
Sign in / Sign up

Export Citation Format

Share Document