Estimation of a Stieltjes function expanded to Taylor series at complex conjugate points

[摘要] Taylor series expansions of a Stieltjes function f in various complex conjugate points are used to construct the so called unified continued fractions (UCF) terminated on P-th step by a remainder f(P)(U) named tail off, We prove that, if f is a Stieltjes function then its tail f(P)(U) is also a Stieltjes function. The estimations off are obtained in what follows. Numerical calculations of the new complex bounds on f generated by complex conjugate input data are carried out. (C) 2009 Elsevier B.V. All rights reserved.

[发布日期] 2009-12-01

[效力级别]  Proceedings Paper

[关键词] N-point Pade approximants;Stieltjes functions