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1
Content available remote Coefficient bounds for certain classes of analytic functions
100%
Juneja O. , Ponnusamy S. , Rajasekaran S.
Annales Polonici Mathematici
|
1995
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tom 62
|
nr 3
231-244
EN
We determine coefficient estimates for α-spiral functions of order ϱ with respect to N-symmetric points (|α| = π/2, 0 ≤ ϱ = 1$ and N is a positive integer). Sharp coefficient bounds are also obtained for functions of the form $f(z)^{-t}$, where t is a positive integer and f(z) is an α-spiral function of order ϱ. Using this we deduce coefficient estimates for inverses of univalent α-spiral and meromorphic univalent α-spiral functions with vanishing early coefficients.
2
Content available remote Certain partial differential subordinations on some Reinhardt domains in $ℂ^n$
80%
Kohr G. , Kohr M.
Annales Polonici Mathematici
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1996-1997
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tom 65
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nr 2
179-191
EN
We obtain an extension of Jack-Miller-Mocanu's Lemma for holomorphic mappings defined in some Reinhardt domains in $ℂ^n$. Using this result we consider first and second order partial differential subordinations for holomorphic mappings defined on the Reinhardt domain $B_{2p}$ with p ≥ 1.
3
Content available remote On starlikeness of certain integral transforms
80%
Ponnusamy S.
Annales Polonici Mathematici
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1991-1992
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tom 56
|
nr 3
227-232
EN
Let A denote the class of normalized analytic functions in the unit disc U = {z: |z| < 1}. The author obtains fixed values of δ and ϱ (δ ≈ 0.308390864..., ϱ ≈ 0.0903572...) such that the integral transforms F and G defined by $F(z) = ∫_0^z (f(t)/t)dt$ and $G(z) = (2/z) ∫_0^z g(t)dt$ are starlike (univalent) in U, whenever f ∈ A and g ∈ A satisfy Ref'(z) > -δ and Re g'(z) > -ϱ respectively in U.
4
Content available O projekcie „Subsumcje edukacji”
80%
Chutorański M. , Szwabowski O. , Moroz J.
|
|
tom 2
EN
The aim of the paper is to present the assumptions of the project titled “Subsumption of education”, which has been implemented in the Institute of Education, Szczecin University since December 2013. In the first section, we draw attention to the need to reflect on the social, political, and ethical dimensions of the subordination of educational processes. Then, outlining theoretical perspective, we present the goals of our project. The final section indicates the research areas, topics discussed by the participants of the seminar. In conclusion, we present the expected results of work of the team involved in the project.
5
Content available On subordination for classes of non-Bazilevic type
80%
Ibrahim R. W. , Darus M. , Tuneski N.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
|
2010
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tom 64
|
nr 2
EN
We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevic type in the open unit disk. By using Jack’s lemma, sufficient conditions for this type of operator are also discussed.
6
Koebe domains for the classes of functions with ranges included in given sets
70%
Koczan L. , Zaprawa P.
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2008
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tom Vol. 14, nr 1
43-52
EN
In this paper we present a new method of determining Koebe domains. We apple this method by giving a new proof of the well-known theorem of A. W. Goodman concerning the Koebe domain for the class T of typically real functions. We applied also the method to determine Koebe sets for classes of the special type , i.e. for TM,g = {∫ ∈ T : ∫(Δ) ⊂ Mg(Δ)}, g ∈ T ∩ S, M > 1, where Δ = {z ∈ C: IzI < 1} and T, S stand for the classes of tipically real functions and univalent functions respectively. In particular, we find the Koebe domains for the class T (M) of all typically real functions with ranges in a given strip.
7
Content available Fekete-Szegö inequalities associated withkthroot transformation based on quasi-subordination
70%
Magesh N. , Yamini J.
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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2017
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tom 16
EN
Recently, Haji Mohd and Darus [1] revived the study of coefficient problems for univalent functions associated with quasi-subordination. Inspired largely by this article, we provide coefficient estimates with k-th root transform for certain subclasses of 𝒮 defined by quasi-subordination.
8
The class of functions defined by differential integral operators
70%
Trojnar-Spelina L.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1999
|
tom z. 23 [175]
145-160
EN
In this paper we consider the class of functions with negative coefficients denned by differential integral operators. Among others the necessary and sufficient condition for a function f to be in the studied class is presented.
9
Content available Classes of meromorphic multivalent functions with Montel’s normalization
60%
Dziok J.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
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2012
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tom 66
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nr 2
EN
In the paper we define classes of meromorphic multivalent functions with Montel’s normalization. We investigate the coefficients estimates, distortion properties, the radius of starlikeness, subordination theorems and partial sums for the defined classes of functions. Some remarks depicting consequences of the main results are also mentioned.
10
Content available Some properties for \(\alpha\)-starlike functions with respect to \(k\)-symmetric points of complex order
60%
Darwish H. E. , Lashin A. Y. , Sowileh S. M.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
|
2017
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tom 71
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nr 1
EN
In the present work, we introduce the subclass \(\mathcal{T}_{\gamma ,\alpha}^{k}(\varphi )\), of starlike functions with respect to \(k\)-symmetric points of complex order \(\gamma\) (\(\gamma \neq 0\)) in the open unit disc \(\vartriangle\). Some interesting subordination criteria, inclusion relations and the integral representation for functions belonging to this class are provided. The results obtained generalize some known results, and some other new results are obtained.
11
Content available Coefficient bounds for some subclasses of p-valently starlike functions
60%
Selvaraj C. , Babu O. S. , Murugusundaramoorthy G.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
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2013
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tom 67
|
nr 2
EN
For functions of the form \[f(z) = z^{p} + \sum_{n = 1}^{\infty} a_{p + n} z^{p + n}\] we obtain sharp bounds for some coefficients functionals in certain subclasses of starlike functions. Certain applications of our main results are also given. In particular, Fekete-Szego-like inequality for classes of functions defined through extended fractional differintegrals are obtained.
12
The classes of functions which can be defined by subordination
60%
Jurasińska R. , Szpila A.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
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1998
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tom z. 22 [170]
41-49
EN
Let H = H(U) be the class of all functions which are holomorphic in the unit disc U = {z : \z\ < 1}. Let P(n) denotes the class of all functions p(z) = 1+piz+... is an element H, such thatp(pz) -< (1+zn/(1-zn), where -< denotes subordination. With the class P(n) we connect the subclass S*(n) of starlike functions in the following way. A function f(z) = z + a2z + ... belongs to S* (n) if and only if zf'(z)/f(z) is an element of P(n). In this note we give the estimations of some coefficients in the classes P(n) and S*(n) and we find the radius of convexity of the class S*(n).
13
On certain differential subordination for circular domains
60%
Lecko A.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1998
|
tom z. 22 [170]
101-108
EN
Let U = {z : \z\ < 1} denote the unit disk. For A and B such that -1
14
Content available remote On sufficient condition for starlikeness of certain integral of analytic function
51%
Sokół J.
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2006
|
tom Vol. 28
127-130
EN
The author aims at finding certain condition on Re f' which is sufficient for the function Φ(z) = ∫(sup z)(sub 0) (sup f(t))(sub t)dt to be starlike function.
15
Content available Wolność jednostki wobec autorytetu Kościoła
51%
Gałkowski S.
Studia Paedagogica Ignatiana
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2017
|
tom 20
|
nr 5
21-32
PL
Tekst analizuje rolę Kościoła Katolickiego jako autorytetu o charakterze deontycznym i epistemicznym. Następnie podejmuje zagadnienie, czy autorytet Kościoła nie podważa autonomii sumienia jego wiernych. Uzasadniana jest teza, że wprawdzie Kościół jest niewątpliwie autorytetem w kwestiach moralnych, ale ma on charakter epistemiczny.
EN
The article analyses the role of the Catholic Church as a deontic and epistemic authority. It discusses the problem of whether the Church’s authority undermines the autonomy of the conscience of the faithful. It then provides a justication for the thesis that while the Church wields authority in moral issues, its authority is of an epistemic nature.
16
Content available remote The convexity of Hadamard product of three functions
51%
Sokół J.
|
2007
|
tom Vol. 29
121-125
EN
Let α, β, γ < and let f, g, h be analytic functions such that Re[f'(z)] ≥ α, Re[g'(z)] ≥ β, Re[h'(z)] ≥ γ in the unit disc U. In this paper we give a sufficient condition for the convexity of Hadamard product f *g *h in the unit dsc U.
17
Content available Legalność stosowania środków przymusu bezpośredniego w kontekście gwarancji konstytucyjnych Studium proceduralno-prawne
51%
Kubanek A.
|
2012
|
tom 1
175-189
EN
State bodies have a right to resort to state compulsion, i.e. to a group of compulsion means which are an attribute of the state only. One of the most severe forms of state compulsion is direct compulsion which is applied predominantly by public officials in order to protect the rights and liberty of an individual and to ensure public safety. These means are designed to force a person to subordination to the commands based on law, which may entail the use of physical force. The purpose of this paper is to present the procedure and rules of using direct compulsion means and to discuss the level of legal interference in the individual’s rights and liberty.
18
Content available remote Generalized classes of uniformly convex functions
51%
Dziok J. , Szpila A.
|
2010
|
tom Vol. 33
13-26
EN
In this paper we introduce some subclasses of analytic functions with varying argument of coeffcients. These classes are defined in terms of the Hadamard product and generalize the well-known classes of uniformly convex functions. We investigate the coeffcients estimates, distortion properties, radii of starlikeness and convexity for defined classes of functions.
19
On classes of functions defined by subordination to some special n-valent functions
51%
Jurasińska R.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1999
|
tom z. 23 [175]
52-60
EN
Let H = H(U) be the class of all functions which are holomorphic in the unit disc U = {z : \z[ < 1}. Let P(n,A,B) denotes the class of all functions p(z) = 1 +p1z +p2z2 + ...is an element of H, such that p(z) -< 1+Azn/1-Bzn, where -< denotes subordination. With the class P(n, A, B) we connect the subclass S*(n, A, B) of starlike functions in the following way. A function f(z) = z o+a2z.2 z2 + ... belongs to S*(n, A, B) if and only ifzf'(z)/f(z) is an element of P(n, A, B). In this note we give some estimations for the modulus of functions and coefficients in the classes P(n,A,B) and S*(n,A, B).
20
Content available remote Radius problems for a class of analytic functions
51%
Ravichandran V. , Khan M. , Silverman H. , Subramanian K.
|
2006
|
tom Vol. 39, nr 1
67-74
EN
In this present paper, we investigate certain radius problems for a class of normalized analytic functions in the open unit disk in the complex plane.
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