Pregled bibliografske jedinice broj: 903424
Sturm–Liouville problem and I–Bessel sampling
Sturm–Liouville problem and I–Bessel sampling // Acta Polytechnica Hungarica, 12 (2015), 2; 231-246 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 903424 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Sturm–Liouville problem and I–Bessel sampling
Autori
Jankov Maširević, Dragana
Izvornik
Acta Polytechnica Hungarica (1785-8860) 12
(2015), 2;
231-246
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Bessel function of the first kind $J_\nu$ ; modified Bessel function of the first kind $I_\nu$ ; sampling series expansions ; Sturm–Liouville boundary value problems ; generalized hypergeometric function ${;};_2F_3$ ; Fox-Wright generalized hypergeometric function ${;};_p\Psi^*_q$ ; sampling series truncation error upper bound
Sažetak
The main aim of this article is to establish summation formulae in form of the sampling expansion series building the kernel function by the samples of the modified Bessel function of the first kind $I_\nu$, and to obtain a sharp truncation error upper bound occurring in the derived sampling series approximation. Summation formulae for functions $I_{;\nu+1};/I_\nu$, $1/I_\nu$ ; $I_\nu^2$ and the generalized hypergeometric function ${;};_2F_3$ are derived as a by–product of these results. The main derivation tools are the Sturm– Liouville boundary value problem and various properties of Bessel and modified Bessel functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Profili:
Dragana Jankov Maširević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
