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On stability of a class of quasipolynomials. (Russian) Zbl 0608.30008

The author investigates a function of the form \[ f_ a(z)=P_ a(z)+Q_ a(z)\exp z \] where \(P_ a\) and \(Q_ a\) are polynomials in z of degree 3 with coefficients depending of a parameter a. He determines explicitly the domains in the a-plane where all the zeros of \(f_ a\) are contained in the left half-plane.
Reviewer: A.E.Eremenko

MSC:

30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
30C10 Polynomials and rational functions of one complex variable
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