✦ LIBER ✦
Estimation of a Stieltjes function expanded to Taylor series at complex conjugate points
✍ Scribed by Stanisław Tokarzewski; Alphonse Ph. Magnus; Jacek Gilewicz
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 623 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
✦ Synopsis
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 U P named tail of f. We prove that, if f is a Stieltjes function then its tail f U P is also a Stieltjes function. The estimations of f are obtained in what follows. Numerical calculations of the new complex bounds on f generated by complex conjugate input data are carried out.