Computational Methods and Function Theory 7 (2007), No. 1, 13--31
Copyright Heldermann Verlag 2007
Olga M.Katkova
olga.m.katkova@univer.kharkov.ua , Dept. of Math., Kharkov National University, Svobody sq., 4, 61077, Kharkov, Ukraine.
This paper investigates the relationship between the Riemann ζ-function and various classes of generating functions of multiply positive sequences introduced by Schoenberg.
Keywords: Multiply positive sequences, totally positive sequences, Pólya frequency sequences, Laguerre-Pólya class, Riemann ζ-function.
MSC 2000: Primary 30D15; Secondary 30D10.
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