Title
“According to Abramowitz and Stegun” or arccoth needn't be uncouth
Abstract
This paper addresses the definitions in OpenMath of the elementary functions. The original OpenMath definitions, like most other sources, simply cite [2] as the definition. We show that this is not adequate, and propose precise definitions, and explore the relationships between these definitions.In particular, we introduce the concept of a couth pair of definitions, e.g. of arcsin and arcsinh, and show that the pair arccot and arccoth can be couth.
Year
DOI
Venue
2000
10.1145/362001.362023
ACM SIGSAM Bulletin
Keywords
Field
DocType
pair arccot,original openmath definition,couth pair,precise definition,elementary function,elementary functions
Inverse hyperbolic function,Discrete mathematics,Algebra,OpenMath,Elementary function,Mathematics education,Inverse trigonometric functions,Mathematics
Journal
Volume
Issue
Citations 
34
2
21
PageRank 
References 
Authors
1.68
2
4
Name
Order
Citations
PageRank
Robert M. Corless11239127.79
David J. Jeffrey21172132.12
Stephen M. Watt367184.72
James H. Davenport4844141.40