Geodesic
On~the~basis property of certain polynomial systems in spaces of entire functions of exponential type
Izvestiya. Mathematics , Tome 42 (1994) no. 3, pp. 587-599

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A class $A$ of polynomial systems $\{a _n(z)\}_0^\infty (a_n^{(n)}(z)\equiv 1,$ $\ n\geqslant 0)$ is considered such that each polynomial $a_n(z)$, starting with $a_1(z)$, has together with its derivatives of order up to and including $(n-1)$at least one zero in the closed unit disc. It is shown that each polynomial system of the class $A$ forms a quasipower basis in the space of entire functions of exponential type less than $R$ $(R>0)$, provided $R$ does not exceed a certain absolute constant $\sigma(A)\in (0,41,\quad 0,5]$. 
@article{IM2_1994_42_3_a4,
     author = {V. A. Oskolkov},
     title = {On~the~basis property of certain polynomial systems in spaces of entire functions of exponential type},
     journal = {Izvestiya. Mathematics },
     pages = {587--599},
     publisher = {mathdoc},
     volume = {42},
     number = {3},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1994_42_3_a4/}
}
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V. A. Oskolkov. On~the~basis property of certain polynomial systems in spaces of entire functions of exponential type. Izvestiya. Mathematics , Tome 42 (1994) no. 3, pp. 587-599. http://geodesic.mathdoc.fr/item/IM2_1994_42_3_a4/