A factorization result for generalized Nevanlinna functions of the class N-k

Authors
Dijksma, A Langer, H Luger, A Shondin, Y
Citation
A. Dijksma et al., A factorization result for generalized Nevanlinna functions of the class N-k, INTEG EQ OP, 36(1), 2000, pp. 121-125
Citations number
8
Categorie Soggetti
Mathematics
Journal title
INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN journal
0378620X → ACNP
Volume
36
Issue
1
Year of publication
2000
Pages
121 - 125
Database
ISI
SICI code
0378-620X(200001)36:1<121:AFRFGN>2.0.ZU;2-R
Abstract
Let Q is an element of N-kappa. It is shown that if alpha is a nonreal pole or a real generalized pole of nonpositive type and beta is a nonreal zero or a real generalized zero of nonpositive type of the function Q then the f unction Q(1)(z) := (z-alpha)(z-<(alpha)over bar>)/(z-beta)(z-<(beta)over bar>) Q(z) belongs to the class Nkappa-1.