Pregled bibliografske jedinice broj: 641667
Inequalities and asymptotic expansions of the Wallis sequence and the sum of the Wallis ratio
Inequalities and asymptotic expansions of the Wallis sequence and the sum of the Wallis ratio // Journal of mathematical inequalities, 7 (2013), 4; 679-695 doi:10.7153/jmi-07-62 (međunarodna recenzija, članak, znanstveni)
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Naslov
Inequalities and asymptotic expansions of the Wallis sequence and the sum of the Wallis ratio
Autori
Elezović, Neven ; Lin, Long ; Vukšić, Lenka
Izvornik
Journal of mathematical inequalities (1846-579X) 7
(2013), 4;
679-695
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Wallis sequence; gamma function; identities; inequality; asymptotic expansion
Sažetak
The asymptotic expansions for the Wallis sequence is studied in details, and explicit formulae for coefficients are given in their simplest form. This enables improvement of some basic inequalities connected with this sequence. Furthermore we establish identity, inequality and asymptotic expansion for the sum of the Wallis ratio.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts