- Tytuł:
- Hankel type integral transforms connected with the hyper-Bessel differential operators
- Autorzy:
-
Luchko, Yurii
Kiryakova, Virginia - Powiązania:
- https://bibliotekanauki.pl/articles/1207625.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
operational relations
generalized Hankel-transform
Meijer's G-function
hyper-Bessel differential operator - Opis:
- In this paper we give a solution of a problem posed by the second author in her book, namely, to find symmetrical integral transforms of Fourier type, generalizing the cos-Fourier (sin-Fourier) transform and the Hankel transform, and suitable for dealing with the hyper-Bessel differential operators of order m>1 $B:= x^{-β} ∏_{j=1}^{m} (x(d/dx) + βγ_{j})$, β>0, $γ_{j} ∈ R$, j=1,...,m. We obtain such integral transforms corresponding to hyper-Bessel operators of even order 2m and belonging to the class of the Mellin convolution type transforms with the Meijer G-function as kernels. Inversion formulas and some operational relations for these transforms are found.
- Źródło:
-
Banach Center Publications; 2000, 53, 1; 155-165
0137-6934 - Pojawia się w:
- Banach Center Publications
- Dostawca treści:
- Biblioteka Nauki
Artykuł