Series

Gerald Dennis Mahan
Additional contact information
Gerald Dennis Mahan: Pennsylvania State University

Chapter 5 in Applied Mathematics, 2002, pp 119-140 from Springer

Abstract: Abstract Many functions f(z) can be represented by a series of terms, where each term depends on the variable z. One type of series has the form 5.1 $$f(z) = \sum\limits_n {{a_n}{{(z - {\text{ }}{z_0})}^n}} $$ The coefficients a n are constants, as is z 0. We continue to use the language of complex variables, and will treat the variable z as complex. However, for many applications the variable z is actually real. The above form of the series is not the only possible one. Others are discussed below. The exponent n is not limited to positive integers. When the exponent n includes negative and positive integers, the function is called a Laurent series (see Section 5.3).

Keywords: Taylor Series; Branch Point; Meromorphic Function; Simple Pole; Infinite Series (search for similar items in EconPapers)
Date: 2002
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-1315-5_5

Ordering information: This item can be ordered from
http://www.springer.com/9781461513155

DOI: 10.1007/978-1-4615-1315-5_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().