On the convergence of Borel approximants. (English) Zbl 1029.34074

Balser, W.; Lutz, D. A.; Schäfke, R.

J. Dyn. Control Syst. 8, No. 1, 65-92 (2002).

For a wide class of functions having a representation as Laplace integrals, the authors obtain expansions in terms of certain higher transcendental functions. They wish to compare some of the results with the Borel approximants with respect to their range of applicability as well as rate and domain of convergence.

Reviewer: S.K.Chatterjea (Kolkata)

MSC:

34Mxx	Ordinary differential equations in the complex domain
33E20	Other functions defined by series and integrals

Keywords:

Borel approximants