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Pregled bibliografske jedinice broj: 779920

Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions

Chen, Chao-Ping; Elezović, Neven
Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions // Applied mathematics and computation, 269 (2015), 232-241 doi:10.1016/j.amc.2015.07.044 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 779920 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions

Autori
Chen, Chao-Ping ; Elezović, Neven

Izvornik
Applied mathematics and computation (0096-3003) 269 (2015); 232-241

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Gamma function; Psi function; Polygamma functions; Asymptotic expansion; Completely monotonic functions

Sažetak
We present new asymptotic expansions of the logarithm of the gamma function in terms of the psi and polygamma functions. Based on these expansions, we prove new complete monotonicity properties of some functions involving the gamma, psi and polygamma functions.

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:

Avatar Url Neven Elezović (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

Chen, Chao-Ping; Elezović, Neven
Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions // Applied mathematics and computation, 269 (2015), 232-241 doi:10.1016/j.amc.2015.07.044 (međunarodna recenzija, članak, znanstveni)
Chen, C. & Elezović, N. (2015) Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions. Applied mathematics and computation, 269, 232-241 doi:10.1016/j.amc.2015.07.044.
@article{article, author = {Chen, Chao-Ping and Elezovi\'{c}, Neven}, year = {2015}, pages = {232-241}, DOI = {10.1016/j.amc.2015.07.044}, keywords = {Gamma function, Psi function, Polygamma functions, Asymptotic expansion, Completely monotonic functions}, journal = {Applied mathematics and computation}, doi = {10.1016/j.amc.2015.07.044}, volume = {269}, issn = {0096-3003}, title = {Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions}, keyword = {Gamma function, Psi function, Polygamma functions, Asymptotic expansion, Completely monotonic functions} }
@article{article, author = {Chen, Chao-Ping and Elezovi\'{c}, Neven}, year = {2015}, pages = {232-241}, DOI = {10.1016/j.amc.2015.07.044}, keywords = {Gamma function, Psi function, Polygamma functions, Asymptotic expansion, Completely monotonic functions}, journal = {Applied mathematics and computation}, doi = {10.1016/j.amc.2015.07.044}, volume = {269}, issn = {0096-3003}, title = {Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions}, keyword = {Gamma function, Psi function, Polygamma functions, Asymptotic expansion, Completely monotonic functions} }

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

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