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Uniqueness of holomorphic Abel functions at a complex fixed point pair

✍ Scribed by Henryk Trappmann; Dimitrii Kouznetsov


Book ID
105752222
Publisher
Springer
Year
2010
Tongue
English
Weight
362 KB
Volume
81
Category
Article
ISSN
0001-9054

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Estimation of a Stieltjes function expan
✍ StanisΕ‚aw Tokarzewski; Alphonse Ph. Magnus; Jacek Gilewicz πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 623 KB

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 Stieltj