About Functional Equation, Generated by Equilateral Triangle
- Authors: Garifyanov F.N.1, Strezhneva E.V.2
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Affiliations:
- Kazan State Power Engineering University
- Kazan National Research Technical University
- Issue: Vol 39, No 2 (2018)
- Pages: 204-208
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201399
- DOI: https://doi.org/10.1134/S1995080218020129
- ID: 201399
Cite item
Abstract
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.
About the authors
F. N. Garifyanov
Kazan State Power Engineering University
Author for correspondence.
Email: f.garifyanov@mail.ru
Russian Federation, ul. Krasnosel’skaya 51, Kazan, Tatarstan, 420008
E. V. Strezhneva
Kazan National Research Technical University
Email: f.garifyanov@mail.ru
Russian Federation, ul. K. Marksa 10, Kazan, Tatarstan, 420111