scholarly journals Notes on the norm of pre-Schwarzian derivatives of certain analytic functions

2020 ◽  
Vol 65 (3) ◽  
pp. 357-363
Author(s):  
Rahim Kargar ◽  
◽  
Keyword(s):  
Analytic Functions ◽  
Schwarzian Derivatives ◽  
Derivatives Of

Coefficient and pre-Schwarzian norm estimates for a class of generalized doubly close-to-convex functions

2014 ◽  
Vol 25 (10) ◽  
pp. 1450094
Author(s):  
Dorina Răducanu
Keyword(s):  
Convex Functions ◽  
Analytic Functions ◽  
Coefficient Bounds ◽  
Norm Estimates ◽  
New Class ◽  
Schwarzian Derivatives ◽  
Derivatives Of

In this paper, we consider a new class 𝒞(ϕ, ψ, η) of analytic functions defined by means of subordination. Coefficient bounds, Fekete–Szegö problem and norm estimates of the pre-Schwarzian derivatives of functions belonging to the class 𝒞(ϕ, ψ, η) are investigated. A class of multiple close-to-convex functions is also considered.

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.

On Hadamard compositions of Gelfond-Leont'ev derivatives of analytic functions

2021 ◽  
pp. 67-80
Author(s):  
Myroslav Mykolayovych Sheremeta ◽  
◽  
Oksana Myroslavivna Mulyava ◽  
Keyword(s):  
Analytic Functions ◽  
Derivatives Of

Hadamard compositions of Gelfond–Leont’ev derivatives of analytic functions

2020 ◽  
Vol 249 (5) ◽  
pp. 769-785
Author(s):  
Myroslav M. Sheremeta ◽  
Oksana M. Mulyava
Keyword(s):  
Analytic Functions ◽  
Derivatives Of

Some inequalities satisfied by the integrals or derivatives of real or analytic functions

1935 ◽  
Vol 39 (1) ◽  
pp. 677-695 ◽  
Author(s):  
G. H. Hardy ◽  
E. Landau ◽  
J. E. Littlewood
Keyword(s):  
Analytic Functions ◽  
Derivatives Of
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