scholarly journals Cluster values for algebras of analytic functions

2018 ◽  
Vol 329 ◽  
pp. 157-173 ◽  
Author(s):  
Daniel Carando ◽  
Daniel Galicer ◽  
Santiago Muro ◽  
Pablo Sevilla-Peris
Keyword(s):  
Analytic Functions ◽  
Cluster Values

scholarly journals Cluster values of analytic functions along paths.

1978 ◽  
Vol 43 ◽  
pp. 81 ◽  
Author(s):  
T. W. Gamelin ◽  
Mikio Nimura
Keyword(s):  
Analytic Functions ◽  
Cluster Values

scholarly journals Corrigendum to “Cluster values for algebras of analytic functions” [Adv. Math. 329 (2018) 157–173]

2018 ◽  
Vol 329 ◽  
pp. 1307-1309
Author(s):  
Daniel Carando ◽  
Daniel Galicer ◽  
Santiago Muro ◽  
Pablo Sevilla-Peris
Keyword(s):  
Analytic Functions ◽  
Cluster Values

scholarly journals Cluster values of analytic functions on a Banach space

2011 ◽  
Vol 353 (2) ◽  
pp. 293-303 ◽  
Author(s):  
Richard M. Aron ◽  
Daniel Carando ◽  
T. W. Gamelin ◽  
Silvia Lassalle ◽  
Manuel Maestre
Keyword(s):  
Banach Space ◽  
Analytic Functions ◽  
Cluster 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
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