A1 Refereed original research article in a scientific journal
Some properties of the gamma and PSI functions, with applications
Authors: Qiu S., Vuorinen M.
Publication year: 2005
Journal: Mathematics of Computation
Journal name in source: Mathematics of Computation
Volume: 74
Issue: 250
First page : 723
Last page: 742
ISSN: 0025-5718
DOI: https://doi.org/10.1090/S0025-5718-04-01675-8
Web address : http://api.elsevier.com/content/abstract/scopus_id:14944340570
Abstract
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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