About Functional Equation, Generated by Equilateral Triangle
- Авторлар: Garifyanov F.1, Strezhneva E.2
-
Мекемелер:
- Kazan State Power Engineering University
- Kazan National Research Technical University
- Шығарылым: Том 39, № 2 (2018)
- Беттер: 204-208
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201399
- DOI: https://doi.org/10.1134/S1995080218020129
- ID: 201399
Дәйексөз келтіру
Аннотация
We considered 6-fold linear equation in the class of analytic functions outside the equilateral triangle and vanishing at infinity. We proposed a method of equivalent regularization, using the theory of boundary value problem of Carleman. Also, the paper is dedicated to applications to the problem of moments for entire functions of exponential type. In particular, we construct a system of functions biorthogonal whit piecewise-quasipolynomial weight to some power system on the three rays. The indicator of such functions is a piecewise-trigonometric function, with a period of 2π/3.
Авторлар туралы
F. Garifyanov
Kazan State Power Engineering University
Хат алмасуға жауапты Автор.
Email: f.garifyanov@mail.ru
Ресей, ul. Krasnosel’skaya 51, Kazan, Tatarstan, 420008
E. Strezhneva
Kazan National Research Technical University
Email: f.garifyanov@mail.ru
Ресей, ul. K. Marksa 10, Kazan, Tatarstan, 420111