Results 1  10
of
616
SOME SPECIAL SUBCLASSES OF CARATHÉODORY’S OR STARLIKE FUNCTIONS AND RELATED COEFFICIENT PROBLEMS
, 2003
"... ABSTRACT. Let P be the class of analytic functions in the unit disk U={z<1} with p(0) = 0 and ℜp(z)> 0 in U. Let also S ∗ , K be the well known classes of normalized univalent starlike and convex functions respectively. For ℜα> 0 we introduce the classes P [α], S ∗ [α] and K [α] which ar ..."
Abstract
 Add to MetaCart
are subclasses of P, S ∗ and K respectively, being defined as follows: p ∈ P [α] iff p ∈ P with p(z) = α ∀ z ∈ U, f ∈ S ∗ [α] iff zf f ∈ P [α] and f ∈ K [α] iff 1 + zf ′ ′ (z) f ′ (z) ∈ P [α]. In this paper we study different kind of coefficient problems for the above mentioned classes P [α], S ∗ [α] and P [α
Regularization Theory and Neural Networks Architectures
 Neural Computation
, 1995
"... We had previously shown that regularization principles lead to approximation schemes which are equivalent to networks with one layer of hidden units, called Regularization Networks. In particular, standard smoothness functionals lead to a subclass of regularization networks, the well known Radial Ba ..."
Abstract

Cited by 395 (32 self)
 Add to MetaCart
We had previously shown that regularization principles lead to approximation schemes which are equivalent to networks with one layer of hidden units, called Regularization Networks. In particular, standard smoothness functionals lead to a subclass of regularization networks, the well known Radial
ON THE NUMBER OF CYCLES IN k–CONNECTED GRAPHS
"... Abstract. We give estimations for the minimum number of cycles in three special subclasses of the class of kconnected graphs. 1. ..."
Abstract
 Add to MetaCart
Abstract. We give estimations for the minimum number of cycles in three special subclasses of the class of kconnected graphs. 1.
SUBCLASSES OF CLOSETOCONVEX FUNCTIONS
"... Abstract. We introduce some subclasses of closetoconvex functions and obtain sharp results for coefficients, distortion theorems and argument theorems from which results of several authors follows as special cases. ..."
Abstract
 Add to MetaCart
Abstract. We introduce some subclasses of closetoconvex functions and obtain sharp results for coefficients, distortion theorems and argument theorems from which results of several authors follows as special cases.
Proeyen, “Symmetry structure of special geometries
 Nucl. Phys. B
, 1993
"... Using techniques from supergravity and dimensional reduction, we study the full isometry algebra of Kähler and quaternionic manifolds with special geometry. These two varieties are related by the socalled c map, which can be understood from dimensional reduction of supergravity theories or by chang ..."
Abstract

Cited by 92 (3 self)
 Add to MetaCart
or by changing chirality assignments in the underlying superstring theory. An important subclass, studied in detail, consists of the spaces that follow from real special spaces using the socalled r map. We generally clarify the presence of ‘extra’ symmetries emerging from dimensional reduction and give
RCC5 and its Tractable Subclasses
, 1996
"... We investigate the computational properties of the spatial algebra RCC5 which is a restricted version of the RCC framework. The satisfiability problem for RCC5 is known to be NPcomplete but not much is known about its approximately four billion subclasses. We provide a complete classification of ..."
Abstract
 Add to MetaCart
We investigate the computational properties of the spatial algebra RCC5 which is a restricted version of the RCC framework. The satisfiability problem for RCC5 is known to be NPcomplete but not much is known about its approximately four billion subclasses. We provide a complete classification
L(h,1)labeling subclasses of planar graphs
, 2004
"... L(h,1)labeling, h = 0, 1, 2, is a class of coloring problems arising from frequency assignment in radio networks, in which adjacent nodes must receive colors that are at least h apart while nodes connected by a two long path must receive different colors. This problem is NPcomplete even when limit ..."
Abstract

Cited by 17 (9 self)
 Add to MetaCart
0; 1 this result proves the polinomiality ofthe problem for outerplanar graphs. Finally, we study the special case D 3; achieving surprising results.
ON THE FEKETESZEGÖ PROBLEM FOR SOME SUBCLASSES OF ANALYTIC FUNCTIONS
"... ABSTRACT. In this present investigation, the authors obtain FeketeSzegö’s inequality for certain normalized analytic functions f(z) defined on the open unit disk for which zf ′ (z)+αz 2 f ′ ′ (z) (1−α)f(z)+αzf ′(z) (α ≥ 0) lies in a region starlike with respect to 1 and is symmetric with respect to ..."
Abstract

Cited by 5 (3 self)
 Add to MetaCart
to the real axis. Also certain applications of the main result for a class of functions defined by convolution are given. As a special case of this result, FeketeSzegö’s inequality for a class of functions defined through fractional derivatives is obtained. The Motivation of this paper is to give a
SUBCLASSES OF αSPIRALLIKE FUNCTIONS ASSOCIATED WITH RUSCHEWEYH DERIVATIVES
"... Making use of the Ruscheweyh derivatives, we introduce the subclasses T(n,α,λ) (n ∈ {0,1,2,3,...}, −π/2 < α < π/2, and 0 ≤ λ ≤ cos2α) of functions f (z) = z +∑∞k=2 akzk which are analytic in z  < 1. Subordination and inclusion relations are obtained. The radius of αspirallikeness of orde ..."
Abstract
 Add to MetaCart
Making use of the Ruscheweyh derivatives, we introduce the subclasses T(n,α,λ) (n ∈ {0,1,2,3,...}, −π/2 < α < π/2, and 0 ≤ λ ≤ cos2α) of functions f (z) = z +∑∞k=2 akzk which are analytic in z  < 1. Subordination and inclusion relations are obtained. The radius of α
CERTAIN COEFFICIENT INEQUALITIES FOR SOME SUBCLASSES OF ANALYTIC FUNCTIONS
"... The purpose of this present paper is to derive certain coefficient estimates for a normalized analytic function defined in the open unit disk ∆ = {z: z ∈ C and z  < 1}. A certain application of our main result for a class of functions defined by a Hadamard product is given. As a special case ..."
Abstract
 Add to MetaCart
The purpose of this present paper is to derive certain coefficient estimates for a normalized analytic function defined in the open unit disk ∆ = {z: z ∈ C and z  < 1}. A certain application of our main result for a class of functions defined by a Hadamard product is given. As a special case
Results 1  10
of
616