On a Difference Equation Generated by Two “Close” Squares
- Авторлар: Garif’yanov F.1, Strezhneva E.2
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Мекемелер:
- Kazan State Power Engineering University
- Kazan National Research Technical University named after A. N. Tupolev
- Шығарылым: Том 40, № 1 (2019)
- Беттер: 55-59
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203757
- DOI: https://doi.org/10.1134/S1995080219010074
- ID: 203757
Дәйексөз келтіру
Аннотация
We consider a set of two squares constructed for the primitive periods 1 and i and having four vertices on one straight line. In a neighborhood of this set, we study a four-element difference equation with constant coefficients. The linear shifts of this equation are the generating transformations of the corresponding doubly periodic group and their inverse transformations. The solution is sought in the class of functions that are analytic outside this set and vanish at infinity. We give some applications to the moment problem for entire functions of exponential type.
Негізгі сөздер
Авторлар туралы
F. Garif’yanov
Kazan State Power Engineering University
Хат алмасуға жауапты Автор.
Email: f.garifyanov@mail.ru
Ресей, Kazan
E. Strezhneva
Kazan National Research Technical University named after A. N. Tupolev
Хат алмасуға жауапты Автор.
Email: strezh@yandex.ru
Ресей, Kazan