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1
Content available remote Domains of analytic existence in real Frechet spaces
100%
Mauer M.
|
1999
|
tom Vol. 47, no 1
7-19
EN
If E is a real separable Frechet space, we prove that every non void domain Omega of E is open for a continuous semi-norm is a domain of analytic existence. In particular, every non void, open and convex subset Omega of E is a domain of analytic existence. Moreover, this result cannot be improved in the case of an arbitrary real separable Frechet space. In fact, in the space omega of real sequences, a non void domain Omega is a domain of analytic existence if and only if Omega is open for a continuous semi-norm.
2
Content available remote Sur les suites de fonctions analytiques bornées dans leur ensemble
88%
Khintchin A.
Fundamenta Mathematicae
|
1923
|
tom 4
|
nr 1
72-75
FR
Monsieur Montel a démontré que, pour une suite f_1(z),f_2(z),...,f_n(z),... (1) de fonctions holomorphes bornées dans leur ensemble à l'intérieur d'un contour simple et sur le contour lui - même, la convergence en tout point d'un arc quelconque de contour entraîne la convergence uniforme dans tout domaine complèment intérieur au contour. Le but de cette note est de généraliser cette proposition, en démontrant que, pour un contour rectifiable, la condition indiquée peut être remplacée par une moins restrictive, à savoir celle de la convergence de la suite (1) en tout point d'un ensemble de mesure non nulle situé sur le contour.
3
Content available remote Sur une fonction analytique partout continue
88%
Uryshon P.
Fundamenta Mathematicae
|
1923
|
tom 4
|
nr 1
144-150
FR
Le but de cette note est de donner un exemple simple d'une fonction analytique f(z) partout continue, nulle à l'infini et ayant pour points singuliers les points d'un ensemble parfait discontinu P de mesure nulle.
4
Content available remote Certain class of analytic functions associated with the generalized hypergeometric function
88%
Aouf M. K.
|
2007
|
tom Vol. 29
17-31
EN
Using the generalized hypergeornetric function, we study a class V(sup p) (sub k (q, s; A, B, λ) of analytic functions with negative coefficients. Coefficient estimates, distortion theorem, extreme points and the radii of convexity and starlikeness for this class are given. We also derive many results for the modified Hadamard products of functions belonging to the class V(sup p) (sub k (q,s; A, B, λ).
5
On univalent functions defined by a generalized differential operator
75%
Ibrahim R. W. , Darus M.
|
|
tom Vol. 16, nr 2
305-313
EN
The object of this paper is to derive some inclusion relations regarding a new class by using the generalized differential operator due to the authors.
6
Content available remote Certain class of analytic functions associated with the wright generalized hypergeometric function
75%
Aouf M. K. , Dziok J.
|
2008
|
tom Vol. 30
23-32
EN
Using the Wrigh's generalized hypergeometric function, we introduce a new class W(q, s; A, B, γ) of analytic functions with nega-tive coefficients. In this paper we investigate coefficient estimates, distortion theorem and the radii of convexity and starlikeness.
7
Content available remote On the fast growth of analytic functions by means of Lagrange polynomial approximation and interpolation in CN*
75%
Kumar D.
|
2010
|
tom Nr 43
85-99
EN
The present paper is concerned with the fast growth of analytic functions in the sets of the form ...[wzór] is the Siciak extremal function of a compact set K) by means of the Lagrange polynomial approximation and interpolation on K having rapidly increasing maximum modulus. To study the precise rates of growth of such functions the concept of index has been used.
8
Content available remote A new class of analytic functions based on Ruscheweyh derivative
75%
Sudharsan T. V. , Thirumalaisamy R. , Sivasubramanian S. , Subramanian K. G.
|
2010
|
tom Vol. 33
103-115
EN
In this paper we introduce a new class [formula/wzór] consisting of analytic functions with negative coeffcients and investigate various properties and characterization of the class. The results include coeffcient estimates, distortion theorem, closure theorems and integral operators for the class [formula/wzór]. Also radii of close-to-convexity, starlikeness and convexity are determined.
9
Content available remote On a starlikeness of order α condition for meromorphic m-valent functions
75%
Catas A.
|
2010
|
tom Vol. 33
5-11
EN
The aim of the paper is to provide sufficient conditions for starlikeness of order α for meromorphic m-valent functions in the punctured disc. The present work is based on some results invoving differential subordinations.
10
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.
11
Content available remote Certain subclass of multivalent functions involving the Cho-Kwon-Srivastava operator
63%
Zeng T. , Gao C.-Y. , Wang Z.-G. , Aghalary R.
|
2008
|
tom Vol. 30
161-170
EN
In the present paper, we introduce a new subclass S(sup (j)) (sub p, λ) (α; a, c; φ) of multivalent functions involving the Cho-Kwon-Srivastava operator. Such results as inclusion relationships, coefficient estimates and convolution properties for this class are proved. The results presented here would provide extensions of those given in earlier works.
12
Content available remote Generalized classes of uniformly convex functions
63%
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.
13
Content available remote Some parametric family of functions
51%
Dziok J.
|
2007
|
tom Vol. 29
99-107
EN
In the paper, we define classes of analytic functions, in terms of some linear operator. Coefficients estimates, distortion theorems, and the radii of convexity and starlikeness for this class of analytic functions are given here.
14
Content available remote On certain properties of neighborhoods of analytic functions of complex order
51%
Latha S. , Poornima N.
|
2008
|
tom Vol. 30
83-90
EN
Let A(n) denote the class of functions of the form [wzór] which are analytic in the open unit disk U = {z : |z| < 1}. In this note, the subclasses Sn (β, γ, a, c), Rn (β, γ, a, c; μ ), S(sup α) (sub n) (β, γ a, c) and R (sup α) (sub n) (β, γ, a, c; μ ) of A(n)(are defined and some properties of neighborhoods arę studied for functions of complex order in these classes.
15
Content available remote On T-neighborhoods of analytic functions
51%
Bednarz U. , Sokół J.
|
2010
|
tom Vol. 32
25-32
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