On fractional powers of the Bessel operator on semiaxis

In this paper we study fractional powers of the Bessel differential operator defined on a semiaxis. Some important properties of such fractional powers of the Bessel differential operator are proved. They include connections with Legendre functions for kernel representations, fractional integral operators of Liouville and Saigo, Mellin transform and index laws. Possible applications are indicated to differential equations with fractional powers of the Bessel differential operator. © 2018 Sitnik SM, Shishkina EL.

Авторы
Sitnik S.M. 1, 2 , Shishkina E.L.3
Издательство
Sobolev Institute of Mathematics
Язык
Английский
Страницы
1-10
Статус
Опубликовано
Том
15
Год
2018
Организации
  • 1 Belgorod State National Research University, Pobeda st., 85, Belgorod, 308015, Russian Federation
  • 2 RUDN University, Miklukho-Maklaya st., 6, Moscow, 117198, Russian Federation
  • 3 Voronezh State University, Universitetskaya pl., 1, Voronezh, 394000, Russian Federation
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/7248/