Open Access

# Some class of real sequences having indefinite Hankel forms

### Abstract

In this paper we generalize the results given in [14] about real sequences which are not necessarily positive (i.e, they are not sequences of power moments) but can be mapped, by a difference operator, into a power moment sequence. We prove by elementary methods that the integro-polynomial representation of such sequences remains after dropping the condition on its growth imposed in the mentioned article. Some additional results on the uniqueness of the representation are included.

### Article Information

 Title Some class of real sequences having indefinite Hankel forms Source Methods Funct. Anal. Topology, Vol. 17 (2011), no. 1, 65-74 MathSciNet MR2815370 Copyright The Author(s) 2011 (CC BY-SA)

### Authors Information

Luis J. Navarro
Department of Pure and Applied Mathematics, Simon Bolivar University, Caracas 1080, Venezuela

Department of Pure and Applied Mathematics, Simon Bolivar University, Caracas 1080, Venezuela

### Citation Example

Luis J. Navarro and Vladimir Strauss, Some class of real sequences having indefinite Hankel forms, Methods Funct. Anal. Topology 17 (2011), no. 1, 65-74.

### BibTex

@article {MFAT569,
AUTHOR = {Navarro, Luis J. and Strauss, Vladimir},
TITLE = {Some class of real sequences having indefinite Hankel forms},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {17},
YEAR = {2011},
NUMBER = {1},
PAGES = {65-74},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=569},
}