scholarly journals On Analytic Functions in an Ordered Field with an Infinite Rank Valuation

2020 ◽  
Vol 12 (4) ◽  
pp. 310-321
Author(s):  
H. M. Moreno
Keyword(s):  
Analytic Functions ◽  
Ordered Field ◽  
Infinite Rank

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

ON SOME SANDWICH THEOREMS OF ANALYTIC FUNCTIONS INVOLVING NOOR-SALAGEAN OPERATOR

2020 ◽  
Vol 9 (10) ◽  
pp. 8455-8467
Author(s):  
W. G. Atshan ◽  
A. A. R. A. A. R. Ali
Keyword(s):  
Analytic Functions ◽  
Sălăgean Operator ◽  
Salagean Operator

ON MONOTONIC AND ANALYTIC FUNCTIONS IN C ∞

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