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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2020 Number 7, Pages 56–62 (Mi ivm9594)

This article is cited in 4 papers

Sum-difference equation for analytic functions, generated by a hexagon, and its applications

F. N. Garif'yanova, E. V. Strezhnevab

a Kazan State Power Engineering University, 51 Krasnosel'skaya str., Kazan, 420066 Russia
b Kazan National Research Technological University named after A.N. Tupolev, 10 K. Marx str., Kazan, 420111 Russia

Abstract: For analytic functions, we study the polyelement functional linear equation generated by a hexagon having a pair of parallel and equal sides. Such equations are related to the problem of moments for entire functions of exponential type.

Keywords: equivalent regularization, Carleman’s problem, moments of entire functions.

UDC: 517

Received: 03.09.2019
Revised: 29.10.2019
Accepted: 18.12.2019

DOI: 10.26907/0021-3446-2020-7-56-62


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, 64:7, 48–53

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© Steklov Math. Inst. of RAS, 2024