# §13.31 Approximations

## §13.31(i) Chebyshev-Series Expansions

Luke (1969b, pp. 35 and 25) provides Chebyshev-series expansions of and that include the intervals and , respectively, where is an arbitrary positive constant.

## §13.31(ii) Padé Approximations

For a discussion of the convergence of the Padé approximants that are related to the continued fraction (13.5.1) see Wimp (1985).

## §13.31(iii) Rational Approximations

In Luke (1977a) the following rational approximation is given, together with its rate of convergence. For the notation see §16.2(i).