Volume 24, Number 3-4, 1998
GENERALIZATION OF EHRLICH-KJURKCHIEV METHOD FOR MULTIPLE
ROOTS OF ALGEGRAIC EQUATIONS
Anton I. Iliev firstname.lastname@example.org
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: N-soliton solution, N-gap solution, KdV, polynomial pencil.
ON A FIVE-DIAGONAL JACOBI MATRICES AND ORTHOGONAL
POLYNOMIALS ON RAYS IN THE COMPLEX PLANE
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 well-known moments problem on the real line . The criterion for the real case is known . The generalized problem is found to be closely connected with a semi-infinite 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 email@example.com
1991 Mathematics Subject Classification: 54B30, 18C20. Key words: monad, Kleisli category, weakly normal functor, inclusion hyperspace.
DIRECTIONS DE MAJORATION D'UNE FONCTION QUASICONVEXE
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
Robert Cauty firstname.lastname@example.org
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:email@example.com
1991 Mathematics Subject Classification: Primary 11N25, secondary 11N64. Key words: Lattice points, elementary methods in number theory.
GENERALIZED PROBLEM OF STARLIKENESS
FOR PRODUCTS OF p-VALENT STARLIKE FUNCTIONS
Georgi Dimkov firstname.lastname@example.org
1991 Mathematics Subject Classification: 30C45. Key words: univalent, p-valent, starlike of order a.