Analytic Relations, Analytic Continuation, Functional Boundaries, Branch-Points

John Mac Sheridan Nerney
Additional contact information
John Mac Sheridan Nerney: Mathematics

Chapter Chapter 10 in An Introduction to Analytic Functions, 2020, pp 59-63 from Springer

Abstract: Abstract An analytic relation Relation analytic analytic relation Analytic relation is a relation F, each member of which belongs to an analytic function contained in F, such that if g and h are analytic functions contained in F then there is an ordered pair (x, y) such that 1. each of x and y is a continuous function from [0, 1] to ℂ $$\mathbb C$$ and x is not constant on any subinterval of [0, 1]; 2. there is a real number b satisfying 0 0 and an analytic function k contained in F such that for all v ∈ [u − c, u + c], we have k(x(v)) = y(v).

Date: 2020
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:978-3-030-42085-7_11

Ordering information: This item can be ordered from
http://www.springer.com/9783030420857

DOI: 10.1007/978-3-030-42085-7_11

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 ().