Analysis Mathematica
Volume/Issue:
Volume 25: Issue 1
Определители, суммы, содерзашие биномиаляные коЭффициенты, и последователяности моментов
Authors:
Zoltán Sasvári Technical University of Dresden Department of Mathematics Mommsenstr. 13 01062 Dresden Germany

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and
Э. Щащвари Technical University of Dresden Department of Mathematics Mommsenstr. 13 01062 Dresden Germany

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Pages:
133–146
Online Publication Date:
05 Jun 2008
Publication Date:
01 Dec 1999
Article Category:
Research Article
DOI:
https://doi.org/10.1007/bf02908430
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Abstract  

In the present paper we investigate some problems connected with the positive definiteness of the sequences
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$j \to e^{j^\alpha } (j \in N_0 )$$ \end{document}
and
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$j \to e^{ - \left| j \right|^\alpha } (j \in Z)$$ \end{document}
, whereα≥0. For this we need and prove some results about certain determinants and finite sums that might be of independent interest.
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Cover Analysis Mathematica
Analysis Mathematica
Print ISSN:
0133-3852
Online ISSN:
1588-273X

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Analysis Mathematica
Language English
Size B5
Year of
Foundation		 1975
Volumes
per Year		 1
Issues
per Year		 4
Founder Akadémiai Kiadó
Founder's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)

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