Pregled bibliografske jedinice broj: 1182141
New expression for CDF of χν'2(λ) distribution and Marcum Q1 function
New expression for CDF of χν'2(λ) distribution and Marcum Q1 function // Results in mathematics, 77 (2022), 3; 102, 11 doi:10.1007/s00025-022-01634-3 (međunarodna recenzija, članak, znanstveni)
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Naslov
New expression for CDF of χν'2(λ) distribution and
Marcum Q1 function
Autori
Bryčkov, Yury ; Jankov Maširević, Dragana ; Poganj, Tibor
Izvornik
Results in mathematics (1422-6383) 77
(2022), 3;
102, 11
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
CDF of non–central χ 2 distribution ; Marcum Q1 function ; Modified Bessel function of the first kind ; Humbert Φ1 and Φ3 functions ; Goldstein I(ξ, η) function
Sažetak
Closed form expression is established for the cumulative distribution function of the non– central χν'2(λ) probability distribution with integer degrees of freedom ν. This expression includes the Humbert Φ1 (confluent Appell) hypergeometric function of two variables. A new representation of the Marcum Q1 function of the first order is obtained, interconnection formula accompanied with a reduction formula for specific, equal unit–parameter case of the Humbert function Φ1 and the function Φ3 are established.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
NadSve-Sveučilište u Rijeci-uniri-pr-prirod-19-16 - Stohastičke metode u matematičkoj analizi (Krizmanić, Danijel, NadSve - UNIRI-plus projekti 2018) ( CroRIS)
Ustanove:
Pomorski fakultet, Rijeka,
Sveučilište u Osijeku, Odjel za matematiku
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
