Volume 24, Number 34, 1998
GENERALIZATION OF EHRLICHKJURKCHIEV METHOD FOR MULTIPLE
ROOTS OF ALGEGRAIC EQUATIONS
Anton I. Iliev
aii@ulcc.uniplovdiv.bg
1991 Mathematics Subject Classification: 61H05. Key words: simultaneous roots finding, quaternary convergence.
DUBROVIN TYPE EQUATIONS FOR COMPLETELY INTEGRABLE SYSTEMS
ASSOCIATED WITH A POLYNOMIAL PENCIL
Russi G. Yordanov
1991 Mathematics Subject Classification: 35Q53, 35Q58. Key words: Nsoliton solution, Ngap solution, KdV, polynomial pencil.
ON A FIVEDIAGONAL JACOBI MATRICES AND ORTHOGONAL
POLYNOMIALS ON RAYS IN THE COMPLEX PLANE
S. Zagorodniuk
1991 Mathematics Subject Classification: 47A57, 34L05. Key words: moments problem, Jacobi matrix, orthogonal polynomials.


In Chapter 1 of our work we consider the class of polynomials with described above recurrence, where J  is not necessarily symmetric one. The more wide conditions are proposed for J. The subject of orthogonality for such systems of polynomials is investigated. The corresponding theorems of orthogonality are obtained.
Chapter 2 of the work is devoted to the solution of some symmetric moments problem. The statement of the problem is a generalization of a wellknown moments problem on the real line [3]. The criterion for the real case is known [3]. The generalized problem is found to be closely connected with a semiinfinite fivediagonal matrices (we also call them Jacobi). The criterion of solvability is proved.
ON EXTENSION OF FUNCTION ONTO THE KLEISLI CATEGORY
OF THE INCLUSION HYPERSPACE MONAD
Andrii Teleiko
topos@mf.franko.lviv.ua
1991 Mathematics Subject Classification: 54B30, 18C20. Key words: monad, Kleisli category, weakly normal functor, inclusion hyperspace.
DIRECTIONS DE MAJORATION D'UNE FONCTION QUASICONVEXE
ET APPLICATIONS
Charki Amara
1991 Mathematics Subject Classification: 52A20, 90C26, 90C31. Key words: recession cones, quasiconvex functions, sensitivity analysis, epiconvergence, marginal functions.
LA CLASSE BORÉLIENNE NE DÉTERMINE PAS LE TYPE TOPOLOGIQUE DE
C_{p}(X)
Robert Cauty
cauty@math.jussieu.fr
1991 Mathematics Subject Classification: 54C35, 54H05. Key words: espaces de fonctions C_p(X), classe borélienne.
INTEGER POINTS CLOSE TO A SMOOTH CURVE
Ognian Trifonov
mailto:trifonov@math.sc.edu
1991 Mathematics Subject Classification: Primary 11N25, secondary 11N64. Key words: Lattice points, elementary methods in number theory.
GENERALIZED PROBLEM OF STARLIKENESS
FOR PRODUCTS OF pVALENT STARLIKE FUNCTIONS
Georgi Dimkov
gdimkov@math.bas.bg
Jacek Dziok
1991 Mathematics Subject Classification: 30C45. Key words: univalent, pvalent, starlike of order a.
