Functional inequalities for incomplete gamma and related functions
نویسندگان
چکیده
منابع مشابه
Supplements to Known Monotonicity Results and Inequalities for the Gamma and Incomplete Gamma Functions
In particular they proved that for x > 0 and α = 0 the function [Γ(1 + 1/x)]x decreases with x, while when α=1 the function x[Γ(1+1/x)]x increases.Moreover they also showed that the values α= 0 and α= 1, in the properties mentioned above, cannot be improved if x ∈ (0,+∞). In this paper we continue the investigation on the monotonicity properties for the gamma function proving, in Section 2, the...
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2006
ISSN: 1331-4343
DOI: 10.7153/mia-09-30