Pregled bibliografske jedinice broj: 1042211
Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula
Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula // Transmutation Operators and Applications / Kravchenko, Vladislav ; Sitnik, Sergei M. (ur.).
Basel: Birkhäuser, 2020. str. 67-84 doi:10.1007/978-3-030-35914-0
CROSBI ID: 1042211 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Second Type Neumann Series Related to Nicholson’s
and to Dixon–Ferrar Formula
Autori
Cvijović, Djurdje ; Poganj, Tibor
Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni
Knjiga
Transmutation Operators and Applications
Urednik/ci
Kravchenko, Vladislav ; Sitnik, Sergei M.
Izdavač
Birkhäuser
Grad
Basel
Godina
2020
Raspon stranica
67-84
ISBN
978-3-030-35913-3
ISSN
2297-0215
Ključne riječi
Bessel function of the first kind J_ν ; Bessel function of the second kind Y_ν ; Modified Bessel function of the second kind K_v ; Integral representation formula ; Nicholson’s formula ; Dixon–Ferrar formula ; Neumann series of Bessel functions ; Cahen's Laplace integral formula
Sažetak
The second type Neumann series are considered which building blocks are Nicholson's and the Dixon–Ferrar formulae for J_v^2(x)+Y_v^2(x). Related closed form double definite integral expressions are established by using the associated Dirichlet’s series Cahen's Laplace integral for the Nicholson's case. However, using Dixon–Ferrar formula a double definite integral expression is again obtained. Certain Open Problems are posed in the last section of the chapter.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Temeljne tehničke znanosti
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Book Citation Index - Science (BKCI-S)
- Scopus
