F. A. Shamoyan, O. V. Okhlupina, E. V. Tasoeva, “Description of root sets and factorization representation of <nobr>$L_{p}$</nobr>-weight classes of entire functions of Valiron type”, Sib. Èlektron. Mat. Izv., 2018, Volume 15,Pages <nobr>1443

Real, complex and functional analysis

Description of root sets and factorization representation of $L_{p}$-weight classes of entire functions of Valiron type

F. A. Shamoyan^a, O. V. Okhlupina^b, E. V. Tasoeva^c

^a Saratov state University, Astrahanskaya ul., 83, 410012, Saratov, Russia
^b Bryansk state University of engineering and technology, prospekt Stanke Dimitrova, 3, 241037, Bryansk, Russia
^c Bryansk state University, Bezhickaya ul., 14, 241036, Bryansk, Russia

Abstract: The paper presents the characterization of root sets of classes of entire functions of the Valiron type with weight, as well as built their factorization representation.

Keywords: an entire function, a factorization representation, root sets, a polynomial, the order of an entire function.

UDC: 517.53

MSC: 30D15

Received May 15, 2018, published November 15, 2018

DOI: 10.17377/semi.2018.15.118