Open Access

# The inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem

### Abstract

The form of the Jacobi type matrix related to the strong Hamburger moment problem is known \cite{N5,BD}, i.e., there are known the zero elements of corresponding matrix. We describe the relations between of non-zero elements of such matrices, i.e., we describe ''the inner structure'' of the Jacobi-Laurent matrices related to the strong Hamburger moment problem.

Key words: Hamburger strong moment problems, block three-diagonal matrix.

### Article Information

 Title The inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem Source Methods Funct. Anal. Topology, Vol. 19 (2013), no. 2, 97-107 MathSciNet MR3098490 zbMATH 1289.47029 Milestones Received 12/11/2012; Revised 05/03/2013 Copyright The Author(s) 2013 (CC BY-SA)

### Authors Information

Mykola E. Dudkin
National Technical University of Ukraine (KPI), 37 Peremogy Av., Kyiv, 03056, Ukraine

### Citation Example

Mykola E. Dudkin, The inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem, Methods Funct. Anal. Topology 19 (2013), no. 2, 97-107.

### BibTex

@article {MFAT668,
AUTHOR = {Dudkin, Mykola E.},
TITLE = {The inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {19},
YEAR = {2013},
NUMBER = {2},
PAGES = {97-107},
ISSN = {1029-3531},
MRNUMBER = {MR3098490},
ZBLNUMBER = {1289.47029},
URL = {http://mfat.imath.kiev.ua/article/?id=668},
}