Ronkin, L. I. On entire functions of \(n\) variables being quasipolynomials in one of the variables. (English) Zbl 0874.32001 Mat. Fiz. Anal. Geom. 3, No. 1-2, 131-141 (1996). Let \(f(z)=\sum^\omega_{j=1} a_je^{\lambda_j z}\) be an entire function of finite order. Here \(\omega<\infty\); \(\lambda_j\in\mathbb{C}\); \(\lambda_j\neq \lambda_i\forall j\neq i\) and the coefficients \(a_j\) are either polynomials or entire functions of degree zero.The author considers functions \(f(z_1,z)\) on the set \(\mathbb{C}*E\) where \(E\) is a non-pluripolar set in \(\mathbb{C}^{n-1}\) and finds the general form for such class of functions. Reviewer: P.Z.Agranovich (Khar’kov) MSC: 32A15 Entire functions of several complex variables 30B50 Dirichlet series, exponential series and other series in one complex variable Keywords:quasipolynomial; entire function; non-pluripolar set PDFBibTeX XMLCite \textit{L. I. Ronkin}, Mat. Fiz. Anal. Geom. 3, No. 1--2, 131--141 (1996; Zbl 0874.32001)