A. Dyachenko

activity

20132023

most citedTotal nonnegativity of infinite Hurwitz matrices of entire and meromorphic functions

10 citations · 35 across the 15 of their papers we have counts for

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Showing 2015 · math.CVShow all

2 papers · 2 filters

math.CV2015

One helpful property of functions generating Pólya frequency sequences

Alexander Dyachenko

In this work we study the solutions of the equation $z^{p} R (z^{k}) = α$ with nonzero complex $α$ , integer $p, k$ and $R (z)$ generating a (possibly doubly infinite) totally positive sequen…

math.CV2015

Functions of classes $N_{ϰ}^{+}$

Alexander Dyachenko

In the present note we give an elementary proof of the necessary and sufficient condition for a univariate function to belong the class $N_{ϰ}^{+}$ . This class was int…

One helpful property of functions generating Pólya frequency sequences

Functions of classes Nϰ+​

Functions of classes $N_{ϰ}^{+}$