Pregled bibliografske jedinice broj: 658037
Asymptotic Expansions of Central Binomial Coefficients and Catalan Numbers
Asymptotic Expansions of Central Binomial Coefficients and Catalan Numbers // Journal of integer sequences, 14 (2013), 2.1; 1-14 (međunarodna recenzija, članak, znanstveni)
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Naslov
Asymptotic Expansions of Central Binomial Coefficients and Catalan Numbers
Autori
Elezović, Neven
Izvornik
Journal of integer sequences (1530-7638) 14
(2013), 2.1;
1-14
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
binomial coefficient; Catalan number; asymptotic expanison; gamma function
Sažetak
We give a systematic view of the asymptotic expansion of two well-known sequences, the central binomial coefficients and the Catalan numbers. The main point is explanation of the nature of the best shift in variable $n$, in order to obtain ``nice'' asymptotic expansions. We also give a complete asymptotic expansion of partial sums of these sequences.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Neven Elezović
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
