Global and local behavior of zeros of nonpositive type

Hendrik de Snoo, Henrik Winkler, Michal Wojtylak*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
104 Downloads (Pure)

Abstract

A generalized Nevanlinna function Q(z) with one negative square has precisely one generalized zero of nonpositive type in the closed extended upper halfplane. The fractional linear transformation defined by Q(tau)(z) = (Q(z) ( -tau )/ (1 +tau Q (z)), T is an element of R U {infinity}, is a generalized Nevanlinna function with one negative square. Its generalized zero of nonpositive type alpha(tau) as alpha function of T is being studied. In particular, it is shown that it is continuous and its behavior in the points where the function extends through the real line is investigated. (C) 2014 Elsevier Inc. All rights reserved.

Original languageEnglish
Pages (from-to)273-284
Number of pages12
JournalJournal of Mathematical Analysis and Applications
Volume414
Issue number1
DOIs
Publication statusPublished - 1-Jun-2014

Keywords

  • Generalized Nevanlinna function
  • Generalized zero of nonpositivc type
  • Generalized pole of nonpositive type
  • GENERALIZED NEVANLINNA FUNCTIONS
  • ONE NEGATIVE SQUARE

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