Pregled bibliografske jedinice broj: 765459
Estimations of psi function and harmonic numbers
Estimations of psi function and harmonic numbers // Applied mathematics and computation, 258 (2015), 192-205 doi:10.1016/j.amc.2015.02.008 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 765459 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Estimations of psi function and harmonic numbers
Autori
Elezović, Neven
Izvornik
Applied mathematics and computation (0096-3003) 258
(2015);
192-205
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Asymptotic expansion; Digamma function; Euler constant; Harmonic numbers; Exponential function; Approximation
Sažetak
The asymptotic expansion of digamma function is a starting point for the derivation of approximants for harmonic sums or Euler-Mascheroni constant. It is usual to derive such approximations as values of logarithmic function, which leads to the expansion of the exponentials of digamma function. In this paper the asymptotic expansion of the function exp(p\psi(x+t)) is derived and analyzed in details, especially for integer values of parameter p. The behavior for integer values of p is proved and as a consequence a new identity for Bernoulli polynomials. The obtained formulas are used to improve know inequalities for Euler’s constant and harmonic numbers.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Neven Elezović
(autor)
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
