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1
Content available remote When powers of a matrix coincide with its Hadamard powers
100%
Drnovšek R.
Special Matrices
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2015
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tom 3
|
nr 1
EN
We characterize matrices whose powers coincide with their Hadamard powers.
2
Content available remote Topological algebras with an orthogonal total sequence
100%
Render H.
Colloquium Mathematicum
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1997
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tom 72
|
nr 2
215-222
EN
The aim of this paper is an investigation of topological algebras with an orthogonal sequence which is total. Closed prime ideals or closed maximal ideals are kernels of multiplicative functionals and the continuous multiplicative functionals are given by the "coefficient functionals". Our main result states that an orthogonal total sequence in a unital Fréchet algebra is already a Schauder basis. Further we consider algebras with a total sequence $(x_n)_{n∈ℕ}$ satisfying $x^2_n=x_n$ and $x_n x_{n+1} = x_{n+1}$ for all n ∈ ℕ.
3
Content available remote Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product
100%
Render H. , Sauer A.
Studia Mathematica
|
1996
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tom 121
|
nr 1
53-65
EN
Let $H(G_1)$ be the set of all holomorphic functions on the domain $G_1.$ Two domains $G_1$ and $G_2$ are called Hadamard-isomorphic if $H(G_1)$ and $H(G_2)$ are isomorphic algebras with respect to the Hadamard product. Our main result states that two admissible domains are Hadamard-isomorphic if and only if they are equal.
4
Content available remote Extended results of the Hadamard product of simple sets of polynomials in hypersphere
100%
El-Sayed A. A.
|
2006
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tom Vol. 46, [Z] 2
201-213
EN
In this paper we study some extended results of the Hadamard product set for several simple monic sets of polynomials of several complex variables in hyperspherical regions, then we obtain the effectiveness conditions for this Hadamard product in hyperspherical regions.
5
Content available remote Boys-and-girls Birthdays and Hadamard Products
100%
Bodini O. , Gardy D. , Roussel O.
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2012
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tom Vol. 117, nr 1-4
85-101
EN
Boltzmann models from statistical physics, combined with methods from analytic combinatorics, give rise to efficient and easy-to-write algorithms for the random generation of combinatorial objects. This paper proposes to extend Boltzmann generators to a new field of applications by uniformly sampling a Hadamard product. Under an abstract real-arithmetic computationmodel, our algorithm achieves approximate-size sampling in expected time O(n.n) or O(n σ) depending on the objects considered, with . the standard deviation of smallest order for the component object sizes. This makes it possible to generate random objects of large size on a standard computer. The analysis heavily relies on a variant of the so-called birthday paradox, which can be modelled as an occupancy urn problem.
6
Content available remote Algebras of holomorphic functions with Hadamard multiplication
100%
Render H. , Sauer A.
Studia Mathematica
|
1996
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tom 118
|
nr 1
77-100
EN
A systematic investigation of algebras of holomorphic functions endowed with the Hadamard product is given. For example we show that the set of all non-invertible elements is dense and that each multiplicative functional is continuous, answering some questions in the literature.
7
Content available remote Characterization of α1 and α2-matrices
100%
Bru R. , Cvetković L. , Kostić V. , Pedroche F.
Open Mathematics
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2010
|
tom 8
|
nr 1
32-40
EN
This paper deals with some properties of α1-matrices and α2-matrices which are subclasses of nonsingular H-matrices. In particular, new characterizations of these two subclasses are given, and then used for proving algebraic properties related to subdirect sums and Hadamard products.
8
Content available Inclusion properties of certain subclasses of analytic functions defined by generalized Salagean operator
100%
Aouf M. K. , Shamandy A. , Mostafa A. O. , Madian S. M.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
|
2010
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tom 64
|
nr 1
EN
Let \(A\) denote the class of analytic functions with the normalization \(f(0)=f^{\prime }(0)-1=0\) in the open unit disc \(U=\{z:\left\vert z\right\vert <1\}\).  Set \[f_{\lambda }^{n}(z)=z+\sum_{k=2}^{\infty }[1+\lambda (k-1)]^{n}z^{k}\quad(n\in N_{0};\ \lambda \geq 0;\ z\in U),\] and define \(f_{\lambda ,\mu }^{n}\) in terms of the Hadamard product \[f_{\lambda }^{n}(z)\ast f_{\lambda ,\mu }^{n}=\frac{z}{(1-z)^{\mu }}\quad (\mu >0;\ z\in U). \] In this paper, we introduce several subclasses of analytic functions defined by means of the operator \(I_{\lambda ,\mu }^{n}:A\longrightarrow A\), given by \[ I_{\lambda ,\mu }^{n}f(z)=f_{\lambda ,\mu }^{n}(z)\ast f(z)\quad (f\in A;\ n\in N_{0;}\ \lambda \geq 0;\ \mu >0). \]Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.
9
Content available remote Hadamard's multiplication theorem - recent developments
100%
Render H.
Colloquium Mathematicum
|
1997
|
tom 74
|
nr 1
79-92
10
Content available Extended results of the Hadamard product of simple sets of polynomials in hypersphere
100%
Ahmed A. E.-S.
Commentationes Mathematicae
|
2006
|
tom 46
|
nr 2
EN
In this paper we study some extended results of the Hadamard product set for several simple monic sets of polynomials of several complex variables in hyperspherical regions, then we obtain the effectiveness conditions for this Hadamard product in hyperspherical regions.
11
Content available On differential sandwich theorems of analytic functions defined by certain linear operator
88%
Aouf M. K. , Seoudy T. M.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
|
2010
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tom 64
|
nr 2
EN
In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results.
12
Content available remote Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix
88%
Zhao J. , Sang C.
Open Mathematics
|
2016
|
tom 14
|
nr 1
81-88
EN
Some convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem. It is proved that these sequences are monotone increasing, and numerical examples are given to show that these sequences could reach the true value of the minimum eigenvalue in some cases. These results in this paper improve some known results.
13
Content available remote New bounds for the minimum eigenvalue ofM-matrices
88%
Wang F. , Sun D.
Open Mathematics
|
2016
|
tom 14
|
nr 1
1007-1013
EN
Some new bounds for the minimum eigenvalue of M-matrices are obtained. These inequalities improve existing results, and the estimating formulas are easier to calculate since they only depend on the entries of matrices. Finally, some examples are also given to show that the bounds are better than some previous results.
14
Content available Bi-Bazilevič functions of complex order involving Ruscheweyh type q-difference operator
88%
Murugusundaramoorthy G. , Bulut S.
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
|
2018
|
tom 17
15
Content available Classes of meromorphic multivalent functions with Montel’s normalization
75%
Dziok J.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
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2012
|
tom 66
|
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.
16
Certain classes of multivalent functions with negative coefficients involving the Hadamard product
75%
Juma A. R. S.
|
|
tom Vol. 18, nr 1
133-143
EN
In this paper, we introduce and investigate a new class of multivalent functions by using the Hadamard product structure defined in the open unit disk. We obtain coefficient estimates, a distortion theorem, extreme points and criteria of starlikeness and convexity for functions which belong to our class. Relevant connections of the results with those obtained in earlier works are also pointed out.
17
Content available Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function
75%
Murugusundaramoorthy G. , Uma K.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
|
2010
|
tom 64
|
nr 2
EN
Making use of the Hurwitz-Lerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by \(TS^\mu_b(\alpha, \beta, \gamma)\) and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for the class \(TS^\mu_b(\alpha, \beta, \gamma)\). In particular, we obtain integral means inequalities for the function \(f(z)\) belongs to the class \(TS^\mu_b(\alpha, \beta, \gamma)\) in the unit disc.
18
Convolution of functions mappings the unit disc into some ngularly domains
75%
Piejko K.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1999
|
tom z. 23 [175]
105-110
EN
Let delta denotes the unit disc and let [...].
19
Content available remote The convexity of Hadamard product of three functions
63%
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.
20
Content available remote On certain subclasses of close-to-convex and
63%
Wang Z.-G. , Jiang Y.-P.
|
2007
|
tom Vol. 29
167-179
EN
In the present paper, the authors introduce two new subclasses S(sup k) (sub sc) (γ, α β) of close-to-convex functions and C(sup k) (sub sc) (γ, α β) of quasi-convex functions with respect to 2k-symmetric conjugate points. The inclusion and subordination relationships, convolution conditions for these classes are provided. The coefficient inequalities, integral representations and sufficient conditions for functions belonging to these classes are also provided.
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