Badalyan, H. V. On construction of entire and quasi-entire functions of finite order uniformly decreasing in the angular domain. I. (English. Russian original) Zbl 0890.30018 J. Contemp. Math. Anal., Armen. Acad. Sci. 31, No. 6, 11-25 (1996); translation from Izv. Akad. Nauk Armen., Mat. 31, No. 6, 15-30 (1996). The author constructs functions \[ f(z)= a_0+ \sum^\infty_{n=1} a_n z^{\alpha_n}, \;0<\alpha_1 <\alpha_2 <\dots (\arg z=0 \text{ for } z>0) \] of order \(\rho\) and normal type which very quickly decrease in the angle \(|\arg z|\leq{\pi \over \rho'}\), \(\rho' \geq \rho\). The formulation of the main result needs refinement. This result and one of Arakelyan (1966) complement each other. Reviewer: A.F.Grishin (Khar’kov) Cited in 1 Review MSC: 30D15 Special classes of entire functions of one complex variable and growth estimates 30A10 Inequalities in the complex plane Keywords:entire function; maximal rate of decrease; non-quasianalytic classes PDFBibTeX XMLCite \textit{H. V. Badalyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 31, No. 6, 11--25 (1996; Zbl 0890.30018); translation from Izv. Akad. Nauk Armen., Mat. 31, No. 6, 15--30 (1996)