Pregled bibliografske jedinice broj: 641944
Inequalities for the one-dimensional analogous of the Coulomb potential
Inequalities for the one-dimensional analogous of the Coulomb potential // Acta Polytechnica Hungarica, 10 (2013), 7; 53-67 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 641944 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Inequalities for the one-dimensional analogous of the Coulomb potential
Autori
Baricz, Árpád ; Poganj, Tibor
Izvornik
Acta Polytechnica Hungarica (1785-8860) 10
(2013), 7;
53-67
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Gaussian integral; Regularization of the Coulomb potential; Mills’ ratio
Sažetak
In this paper our aim is to present some monotonicity and convexity properties for the one dimensional regularization of the Coulomb potential, which has applications in the study of atoms in magnetic fields and which is in fact a particular case of the Tricomi confluent hypergeometric function. Moreover, we present some Turan type inequalities for the function in the question and we deduce from these inequalities some new tight upper bounds for the Mills ratio of the standard normal distribution.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Tehnologija prometa i transport
POVEZANOST RADA
Projekti:
112-1121722-3314 - Informacijsko-komunikacijske tehnologije u inteligentnim pomorskim sustavima (Tomas, Vinko, MZOS ) ( CroRIS)
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
