A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Some properties of the gamma and PSI functions, with applications
Tekijät: Qiu S., Vuorinen M.
Julkaisuvuosi: 2005
Journal: Mathematics of Computation
Tietokannassa oleva lehden nimi: Mathematics of Computation
Vuosikerta: 74
Numero: 250
Aloitussivu: 723
Lopetussivu: 742
ISSN: 0025-5718
DOI: https://doi.org/10.1090/S0025-5718-04-01675-8
Verkko-osoite: http://api.elsevier.com/content/abstract/scopus_id:14944340570
Tiivistelmä
In this paper, some monotoneity and concavity properties of the gamma, beta and psi functions are obtained, from which several asymptotically sharp inequalities follow. Applying these properties, the authors improve some well-known results for the volume Ω of the unit ball B ⊂ ℝ , the surface area ω of the unit sphere S , and some related constants. © 2004 American Mathematical Society.
In this paper, some monotoneity and concavity properties of the gamma, beta and psi functions are obtained, from which several asymptotically sharp inequalities follow. Applying these properties, the authors improve some well-known results for the volume Ω of the unit ball B ⊂ ℝ , the surface area ω of the unit sphere S , and some related constants. © 2004 American Mathematical Society.
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