Pregled bibliografske jedinice broj: 399450
Hilbert inequality and Gaussian hypergeometric functions
Hilbert inequality and Gaussian hypergeometric functions // Journal of mathematical inequalities, 3 (2009), 4; 645-656 doi:10.7153/jmi-03-62 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 399450 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Hilbert inequality and Gaussian hypergeometric functions
Autori
Krnić, Mario
Izvornik
Journal of mathematical inequalities (1846-579X) 3
(2009), 4;
645-656
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
inequalities; Hilbert type inequality; Hardy-Hilbert type inequality; equivalent inequalities; non-conjugate parameters; beta function; gamma function; the best possible constant; hypergeometric function; Gaussian hypergeometric function; Pfaff's reflection law; Euler identity
Sažetak
By using the integral representation of Gaussian hypergeometric function, we obtain Hilbert type inequalities with some fractional kernels and non-conjugate parameters. Such inequalities include the constant factors expressed in terms of hypergeometric functions. Further, we obtain the best possible constants for some general cases, in conjugate case.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario Krnić
(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
