an:04055989
Zbl 0647.30020
Lyubishkin, V. A.
Regularized sums of roots of generalized quasipolynomials
RU
Mat. Sb., N. Ser. 135(177), No. 4, 463-471 (1988).
00311801
1988
j
30D15 30D35
quasipolynomial; asymptotic expansions of zeros
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 \textit{V. B. Lidskij} and \textit{V. A. Sadovnichij} [Funkts. Anal. Prilozh. 1, No.2, 52-59 (1967; Zbl 0176.370)], permitting for f(z) to have multiple zeros.
A.Khejfits
Zbl 0176.370