About: Laurent expansions for certain functions defined by Dirichlet series

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/springer/periodical/10/1993/volume_45/issue_1/w
Subject	Secondary 30B10, 30B40 Primary 30B50
Title	Laurent expansions for certain functions defined by Dirichlet series
has manifestation of work	http://hub.abes.fr/springer/periodical/10/1993/volume_45/issue_1/B9576C8E65F40EFCE053120B220A4E6B/m/print http://hub.abes.fr/springer/periodical/10/1993/volume_45/issue_1/B9576C8E65F40EFCE053120B220A4E6B/m/web
related by	http://hub.abes.fr/springer/periodical/10/1993/volume_45/issue_1/B9576C8E65F40EFCE053120B220A4E6B/authorship/1
Author	http://hub.abes.fr/springer/periodical/10/1993/volume_45/issue_1/B9576C8E65F40EFCE053120B220A4E6B/holvorcempaulor
Abstract	Summary. The Poisson summation formula is employed to find the Laurent expansions of the Dirichlet seriesF(s, c) = Σn = 0∞ exp[−(n + c)1/2s] andG(s, c) = Σn = 0∞(−1)n exp[−(n + c)1/2s] (0⩽c<1) abouts = 0. The Laurent expansions ofF(s, c) andG(s, c) are convergent respectively for 0 < \|s\| < ∞ and \|s\| < ∞, and define the analytic continuation of the Dirichlet series to the half-plane Res< 0.
article type	Research Papers OriginalPaper
publisher identifier	BF01844425
Date Copyrighted	1993
Rights Holder	Birkhäuser Verlag
is part of this journal	aequationes mathematicae

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