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Regularized sums of roots of generalized quasipolynomials. (Russian) Zbl 0647.30020
The author derives asymptotic expansions of zeros of an entire function of the kind \[ f(z)=\sum^{N}_{k=1}Q_{kh}(z) \exp P_ k(z), \] where \(P_ k\) are polynomials and \(Q_{kh}\) have some asymptotic expansions. He generalizes the result of V. B. Lidskij and V. A. Sadovnichij [Funkts. Anal. Prilozh. 1, No.2, 52-59 (1967; Zbl 0176.370)], permitting for f(z) to have multiple zeros.
Reviewer: A.Khejfits

MSC:
30D15 Special classes of entire functions of one complex variable and growth estimates
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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