References
M. Fekete and G. Pólya,Über ein Problem von Laguerre, Rendiconti di Palermo, vol. 34 (1912), pp. 89–120.
S. Lipka,Über einige Sätze von Zeichenwechsel, Math. Naturwiss. Anz. Ungar. Akad. Wiss. vol. 60 (1941), pp. 70–82 (Hungarian, German summary). See also Math. Reviews, vol. 9 (1948), page 348.
N. Obreschkoff,Über die Wurzeln algebraischer Gleichungen, Jahresber. der Deutschen Math.-Ver., vol. 33 (1924), pp. 52–64.
I. J. Schoenberg,Über variationsvermindernde lineare Transformationen, Math. Zeitschrift, vol. 32 (1930), pp. 321–328.
I. J. Schoenberg,Extensions of theorems of Descartes and Laguerre to the complex domain, Duke Math. J., vol. 2 (1936), pp. 84–94.
I. J. Schoenberg,On the zeros of the generating functions of multiply positive sequences and functions; to appear in the Annals of Mathematics
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The present work was partly sponsored by the Air Research and Development Command, USAF, at the University of Pennsylvania.
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Schoenberg, I.J. A note on multiply positive sequences and the Descartes rule of signs. Rend. Circ. Mat. Palermo 4, 123–131 (1955). https://doi.org/10.1007/BF02846031
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DOI: https://doi.org/10.1007/BF02846031