×

On power series with negative zeros. (English) Zbl 0246.30002


MSC:

30B10 Power series (including lacunary series) in one complex variable
30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] A. EDREI, Proof of a conjecture of Schoenberg on the generating function of a totally positive sequence. Canad. J. Math. 5 (1953), 86-94. · Zbl 0053.23704 · doi:10.4153/CJM-1953-010-3
[2] G. G. LORENTZ, Bernstein Polynomials. Univ. of Toronto Press, Toronto 1953 · Zbl 0051.05001
[3] A. PEYERIMHOFF, On the zeros of power series.Mich. Math. J. 13 (1966), 193-214 · Zbl 0158.06403 · doi:10.1307/mmj/1028999545
[4] G. POLYA UNDG. SZEGO, Aufgaben und Lehrsatze aus der Analysis. Springer, Berlin, 1954.
[5] Ju. N. SUBBOTIN, Funktionelle Interpolation im Mittel mit kleinster · Zbl 0214.31602
[6] D. V. WIDDER, The Laplace Transform. Princeton 1946 · Zbl 0060.24801
[7] E. WIRSING, On the monotonicity of the zeros of two power series. Mich. Math. J. 1 (1966), 215-218. · Zbl 0158.06501 · doi:10.1307/mmj/1028999546
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.