Pregled bibliografske jedinice broj: 75146
Some properties of generalized secant integrals: extended definition and recurrence relations
Some properties of generalized secant integrals: extended definition and recurrence relations // Radiation Physics and Chemistry, 60 (2001), 6; 551-554 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 75146 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some properties of generalized secant integrals: extended definition and recurrence relations
Autori
Michieli, Ivan
Izvornik
Radiation Physics and Chemistry (0969-806X) 60
(2001), 6;
551-554
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Secant integral; Sievert; Buildup; Shielding
Sažetak
Line sources with slab shields represent typical source-shield configuration in gamma-ray attenuation problems. Such shielding problems often lead to the generalized Secant integrals of the form :
----------------Equation --------
Lately, the author developed rapidly convergent infinite series representation of generalized Secant Integrals involving incomplete Gamma functions. Validity of such representation was established for zero and positive values of integral parameter "a" (a >= 0).
In this paper definition is extended to include negative real "a" values. It is demonstrated that introduced series representation is still valid. In addition, general recurrence relations are established that allow precise calculation of the integral for negative "a" values.
Izvorni jezik
Engleski
Znanstvena područja
Elektrotehnika
POVEZANOST RADA
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
