NDLI: On formal Laurent series

Content Provider	Springer Nature Link
Author	Gan, Xiao Xiong Bugajewski, Dariusz
Copyright Year	2011
Abstract	Several kinds of formal Laurent series have been introduced with some restrictions so far. This paper systematically sets up a natural definition and structure of formal Laurent series without those restrictions, including introducing a multiplication between formal Laurent series. This paper also provides some results on the algebraic structure of the space of formal Laurent series, denoted by $$\mathbb{L}$$ . By means of the results of the generalized composition of formal power series, we define a composition of a Laurent series with a formal power series and provide a necessary and sufficient condition for the existence of such compositions. The calculus about formal Laurent series is also introduced.
Ending Page	437
Page Count	23
Starting Page	415
File Format	PDF
ISSN	16787544
e-ISSN	16787714
Journal	Bulletin of the Brazilian Mathematical Society
Issue Number	3
Volume Number	42
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-09-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Multiple sequences and series (should also be assigned at least one other classification number in this section) ℂ-algebra Convergence and divergence of series and sequences composition analytic function Theoretical, Mathematical and Computational Physics formal Laurent series integral domain Nonstandard analysis Composition operators Mathematics formal power series
Content Type	Text
Resource Type	Article
Subject	Mathematics

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