Korobejnik, Yu. F. Expansion of analytic functions in series of rational functions. (English. Russian original) Zbl 0518.30006 Math. Notes 31, 368-375 (1982); translation from Mat. Zametki 31, 723-737 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 30B50 Dirichlet series, exponential series and other series in one complex variable 41A58 Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) Keywords:partial fraction expansion PDFBibTeX XMLCite \textit{Yu. F. Korobejnik}, Math. Notes 31, 368--375 (1982; Zbl 0518.30006); translation from Mat. Zametki 31, 723--737 (1982) Full Text: DOI References: [1] J. Wolf, ?Sur les séries \(\sum\nolimits_{k = 1}^\infty {\frac{{A_k }}{{z - \alpha _k }}} ,\) ? C.R. Acad. Sci.,173, 1327-1328 (1921). [2] A. Danjoy, ?Sur les séries de fractions rationneles,? Bull. Soc. Math. France,52, 418-434 (1924). [3] A. A. Gonchar, ?Examples of nonuniqueness of analytic functions,? Vestn. Mosk. Univ., No. 1, 37-43 (1964). [4] T. A. Leont’eva, ?Representation of functions, analytic in a closed domain, by series of rational functions,? Mat. Zametki,4, No. 2, 191-200 (1968). [5] L. Brown, A. Shields, and K. Zeller, ?On absolute convergent exponential sums,? Trans. Am. Math. Soc.,96, No. 1, 162-183 (1960). · Zbl 0096.05103 · doi:10.1090/S0002-9947-1960-0142763-8 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.