On the uniform approximation of a class of analytic functions by Bruwier series

[摘要] For a class of analytic functions f(z) defined by Laplace Stieltjes integrals the uniform convergence on compact subsets of the complex plane of the Bruwier series (B-series) Sigma'(n=o) lambda (n)(f) (z-ncy(n)/n, lambda (n)(f) = f((n))(nc) + cf((n+1))(nc), generated by f(z) and the uniform approximation of the generating function f(z) by its B-series in cones \arg z\ less than or equal to phi < n/2 is shown. (C) 2000 Academic Press.

[发布日期] 2000-12-01