Pregled bibliografske jedinice broj: 820868
Probability distribution built by Prabhakar function. Related Turán and Laguerre inequalities
Probability distribution built by Prabhakar function. Related Turán and Laguerre inequalities // Integral transforms and special functions, 27 (2016), 10; 783-793 doi:10.1080/10652469.2016.1201817 (međunarodna recenzija, članak, znanstveni)
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Naslov
Probability distribution built by Prabhakar function. Related Turán and Laguerre inequalities
Autori
Poganj, Tibor ; Tomovski, Živorad
Izvornik
Integral transforms and special functions (1065-2469) 27
(2016), 10;
783-793
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Prabhakar (three-parameter Mittag-Leffler) function ; Moments ; Turanian di erence ; Laguerre inequality ; Functional bounds ; Recurrence identities
Sažetak
Introducing the discrete probability distribution by means of the Prabhakar (or the three- parameter Mittag-Leffler) function, we establish explicit expressions for raw and factorial moments and also general fractional order moments. Applying an elementary moment inequality we obtain functional upper bounds for the Turanian di fference for Prabhakar function. Finally, a Laguerre inequality is proved and functional upper bound has been given for Laguerreian di fference for Prabhakar function.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Pomorski fakultet, Rijeka
Profili:
Tibor Poganj
(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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts