Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 6

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Some subclasses of close-to-convex functions

100%
Lecko A.
Annales Polonici Mathematici
|
1993
|
tom 58
|
nr 1
53-64
EN
For α ∈ [0,1] and β ∈ (-π/2,π/2) we introduce the classes $C_β(α)$ defined as follows: a function f regular in U = {z: |z| < 1} of the form $f(z) = z + ∑_{n=1}^{∞} a_n z^n$, z ∈ U, belongs to the class $C_β(α)$ if $Re{e^{iβ}(1 - α²z²)f'(z)} < 0$ for z ∈ U. Estimates of the coefficients, distortion theorems and other properties of functions in $C_β(α)$ are examined.
2
Content available remote

Strongly starlike and spirallike functions

100%
Lecko A.
Annales Polonici Mathematici
|
2005
|
tom 85
|
nr 2
165-192
EN
The aim of this paper is to present a new method of proof of an analytic characterization of strongly starlike functions of order (α,β). The relation between strong starlikeness and spirallikeness of the same order is discussed in detail. Some well known results are reproved.
3
Content available remote

Boundary subordination

100%
Lecko A.
Annales Polonici Mathematici
|
2012
|
tom 104
|
nr 2
189-201
EN
We study the idea of the boundary subordination of two analytic functions. Some basic properties of the boundary subordination are discussed. Applications to classes of univalent functions referring to a boundary point are demonstrated.
4
Content available remote

On the class of functions defined in a halfplane and starlike with respect to the boundary point

100%
Lecko A.
Annales Polonici Mathematici
|
2002
|
tom 79
|
nr 1
67-83
EN
The purpose of this paper is to study the class $𝓢*_∞(ℍ)$ of univalent analytic functions defined in the right halfplane ℍ and starlike w.r.t. the boundary point at infinity. An analytic characterization of functions in $𝓢*_∞(ℍ)$ is presented.
5
Content available remote

On the class of functions strongly starlike of order α with respect to a point

100%
Lecko A.
Annales Polonici Mathematici
|
1998
|
tom 68
|
nr 2
107-117
EN
We consider the class 𝓩(k;w), k ∈ [0,2], w ∈ ℂ, of plane domains Ω called k-starlike with respect to the point w. An analytic characterization of regular and univalent functions f such that f(U) is in 𝓩(k;w), where w ∈ f(U), is presented. In particular, for k = 0 we obtain the well known analytic condition for a function f to be starlike w.r.t. w, i.e. to be regular and univalent in U and have f(U) starlike w.r.t. w ∈ f(U).
6
Content available remote

On coefficient inequalities in the Carathéodory class of functions

100%
Lecko A.
Annales Polonici Mathematici
|
2000
|
tom 75
|
nr 1
59-67
EN
Some inequalities are proved for coefficients of functions in the class P(α), where α ∈ [0,1), of functions with real part greater than α. In particular, new inequalities for coefficients in the Carathéodory class P(0) are given.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.