DSpace Collection: Volume 24 Number 3-4
http://hdl.handle.net/10525/517
Serdica Mathematical Journal Volume 24, Number 3-4, 1998The Collection's search engineSearch the Channelsearch
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Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions
http://hdl.handle.net/10525/566
Title: Generalized Problem of Sratlikeness for Products of P-Valent Starlike Functions<br/><br/>Authors: Dimkov, Georgi; Dziok, Jacek<br/><br/>Abstract: We consider functions of the type, j=1 ... n, F(z) = z^p ∏ [ fj (z)/(z^p) ] ^αjwhere fj are p-valent functions starlike of order αj and aj are complexnumbers. The problem we solve is to find conditions for the centre and theradius of the disc {z : |z − ω| < r}, contained in the unit disc {z : |z| < 1}and containing the origin, so that its transformation by the function F be adomain starlike with respect to the origin.<br/><br/>Description: ∗ Partially supported by grant No. 433/94 NSF of the Ministry of Education and Science of the Republic of Bulgaria 1991 Mathematics Subject Classification:30C45Integer Points Close to a Smooth Curve
http://hdl.handle.net/10525/565
Title: Integer Points Close to a Smooth Curve<br/><br/>Authors: Trifonov, Ognian<br/><br/>Abstract: We review the existing estimates for the number of integer points close to a smooth curve and improve on some of these.<br/><br/>Description: ∗ This research is partially supported by the Bulgarian National Science Fund under contract MM-403/9La Classe Borélienne Ne Détermine Pas Le Type Topologique De Cp(x)
http://hdl.handle.net/10525/564
Title: La Classe Borélienne Ne Détermine Pas Le Type Topologique De Cp(x)<br/><br/>Authors: Cauty, Robert<br/><br/>Abstract: We prove that, for every countable ordinal α ≥ 3, there existscountable completely regular spaces Xα and Yα such that the spaces Cp (Xα )and Cp (Yα ) are borelian of class exactly Mα , but are not homeomorphic.Directions De Majoration D'une Fonction Quasiconvexe Et Applications
http://hdl.handle.net/10525/563
Title: Directions De Majoration D'une Fonction Quasiconvexe Et Applications<br/><br/>Authors: Amara, Charki<br/><br/>Abstract: We introduce the convex cone constituted by the directionsof majoration of a quasiconvex function. This cone is used to formulate aqualification condition ensuring the epiconvergence of a sequence of generalquasiconvex marginal functions in finite dimensional spaces.On Extension of Functors onto the Kleisli Category of the Inclusion Hyperspace Monad
http://hdl.handle.net/10525/562
Title: On Extension of Functors onto the Kleisli Category of the Inclusion Hyperspace Monad<br/><br/>Authors: Teleiko, Andrii<br/><br/>Abstract: It is proved that there exists no extension of any non-trivial weakly normal functor of finite degree onto the Kleisli category of the inclusion hyperspace monad.On a Five-Diagonal Jacobi Matrices and Orthogonal Polynomials on Rays in the Complex Plane
http://hdl.handle.net/10525/561
Title: On a Five-Diagonal Jacobi Matrices and Orthogonal Polynomials on Rays in the Complex Plane<br/><br/>Authors: Zagorodniuk, S.<br/><br/>Abstract: Systems of orthogonal polynomials on the real line play animportant role in the theory of special functions [1]. They find applications in numerous problems of mathematical physics and classical analysis.It is known, that classical polynomials have a number of properties, whichuniquely define them.<br/><br/>Description: ∗ Partially supported by Grant MM-428/94 of MESC.Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil
http://hdl.handle.net/10525/560
Title: Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil<br/><br/>Authors: Yordanov, Russi<br/><br/>Abstract: Dubrovin type equations for the N -gap solution of a completelyintegrable system associated with a polynomial pencil is constructed andthen integrated to a system of functional equations. The approach used toderive those results is a generalization of the familiar process of finding the1-soliton (1-gap) solution by integrating the ODE obtained from the solitonequation via the substitution u = u(x + λt).Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations
http://hdl.handle.net/10525/559
Title: Generalization of Ehrlich-Kjurkchiev Method for Multiple Roots of Algebraic Equations<br/><br/>Authors: Iliev, Anton<br/><br/>Abstract: In this paper a new method which is a generalization of theEhrlich-Kjurkchiev method is developed. The method allows to findsimultaneously all roots of the algebraic equation in the case when the roots aresupposed to be multiple with known multiplicities. The offered generalization does not demand calculation of derivatives of order higher than firstsimultaneously keeping quaternary rate of convergence which makes thismethod suitable for application from practical point of view.