We study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/Γ(x+β) as x→ + ∞, α, β ≥ 0. In particular, an alternate asymptotic formula with respect to the ones known in literature is given.
Laforgia, A.I.A., Natalini, P. (2012). On the asymptotic expansion of a ratio of gamma functions. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 389(2), 833-837 [10.1016/j.jmaa.2011.12.025].
On the asymptotic expansion of a ratio of gamma functions
LAFORGIA, Andrea Ivo Antonio;NATALINI, PIERPAOLO
2012-01-01
Abstract
We study the problem of the asymptotic expansion of the ratio of two gamma functions Γ(x+α)/Γ(x+β) as x→ + ∞, α, β ≥ 0. In particular, an alternate asymptotic formula with respect to the ones known in literature is given.File in questo prodotto:
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