“According to Abramowitz and Stegun” or arccoth needn't be uncouth
Robert M. Corless, David J. Jeffrey, Stephen M. Watt, James H. Davenport · ACM SIGSAM Bulletin · 2000
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.