Title
Reasoning about the Elementary Functions of Complex Analysis
Abstract
There are many problems with the simplification of elementary functions, particularly over the complex plane, though not exclusively – see (20). Systems tend to make “howlers” or not to simplify enough. In this paper we outline the “unwinding number” approach to such problems, and show how it can be used to prevent errors and to systematise such simplification, even though we have not yet reduced the simplification process to a complete algorithm. The unsolved problems are probably more amenable to the techniques of artificial intelligence and theorem proving than the original problem of complex-variable analysis.
Year
DOI
Venue
2002
10.1023/A:1016007415899
Ann. Math. Artif. Intell.
Keywords
Field
DocType
elementary functions,branch cuts,complex identities
Discrete mathematics,Computer science,Automated theorem proving,Elementary function,Complex plane,Artificial intelligence,Calculus
Journal
Volume
Issue
ISSN
36
3
1573-7470
Citations 
PageRank 
References 
13
1.53
7
Authors
5
Name
Order
Citations
PageRank
Russell Bradford1927.78
Robert M. Corless21239127.79
James H. Davenport3844141.40
David J. Jeffrey41172132.12
Stephen M. Watt567184.72