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 ◽  
◽  
2014 ◽  
Vol 25 (10) ◽  
pp. 1450094
Author(s):  
Dorina Răducanu

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.


2020 ◽  
Vol 17 (2) ◽  
pp. 256-277
Author(s):  
Ol'ga Veselovska ◽  
Veronika Dostoina

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.


Author(s):  
Myroslav Mykolayovych Sheremeta ◽  
◽  
Oksana Myroslavivna Mulyava ◽  

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

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

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