Some properties of the gamma and psi functions, with applications
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چکیده
منابع مشابه
Some properties of the gamma and psi functions, with applications
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 Ωn of the unit ball Bn ⊂ Rn, the surface area ωn−1 of the unit sphere Sn−1, and some related constants.
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2004
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-04-01675-8