# §10.61 Definitions and Basic Properties

## §10.61(i) Definitions

Throughout §§10.61–§10.71 it is assumed that , , and is a nonnegative integer.

10.61.1

When suffices on , , , and are usually suppressed.

Most properties of , , , and follow straightforwardly from the above definitions and results given in preceding sections of this chapter.

## §10.61(iii) Reflection Formulas for Arguments

In general, Kelvin functions have a branch point at and functions with arguments are complex. The branch point is absent, however, in the case of and when is an integer. In particular,

10.61.5