On a difference equation with holomorphic coefficients generated by a hexagon
https://doi.org/10.26907/0021-3446-2024-8-20-26
Abstract
Let D be a hexagon with two straight and four right angles. We consider a sevenelement difference equation with holomorphic coefficients generated by this hexagon. A method for regularizing this equation is proposed. The solution is sought in the class of functions holomorphic outside the "half"of the boundary ᲛD and vanishing at infinity. It is represented as a Cauchy-type integral over the "half"of the boundary with an unknown density. Applications to the problem of moments for entire functions of exponential type (e.f.e.t.) are indicated.
About the Authors
F. N. Garif’yanov
Kazan State Power Engineering University
Russian Federation
Russian Federation
Farkhat Nurgayazovich Garif’yanov
51 Krasnosel’skaya str., Kazan, 420066
E. V. Strezhneva
Kazan National Research Technical University named after A.N. Tupolev – KAI
Russian Federation
Russian Federation
Elena Vasil’evna Strezhneva
10 K. Marx str., Kazan, 420111
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Review
For citations:
Garif’yanov F.N., Strezhneva E.V. On a difference equation with holomorphic coefficients generated by a hexagon. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2024;(8):20-26. (In Russ.) https://doi.org/10.26907/0021-3446-2024-8-20-26
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