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

collaborators

Showing 2015Show all

3 papers · 1 filter

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…

math.CA2015

On conjectures by Csordas, Charalambides and Waleffe

Alexander Dyachenko, Galina van Bevern

In the present note we obtain new results on two conjectures by Csordas et al. regarding the interlacing property of zeros of special polynomials. These polynomials came from the J…

One helpful property of functions generating Pólya frequency sequences

Functions of classes Nϰ+​

On conjectures by Csordas, Charalambides and Waleffe

Functions of classes $N_{ϰ}^{+}$