A class of logarithmically completely monotonic functions related to the q-gamma function and applications
نویسندگان
چکیده
منابع مشابه
Some Logarithmically Completely Monotonic Functions Related to the Gamma Function
converges for x ∈ [0,∞). This tells us that f ∈ C[[0,∞)] if and only if it is a Laplace transform of the measure α. There have been a lot of literature about the completely monotonic functions, for examples, [3, 4, 5, 22, 25, 32, 34, 35, 39, 40, 42, 58, 60, 61, 62, 63, 66] and references therein. Recall also [6, 43, 47] that a positive function f is said to be logarithmically completely monoton...
متن کاملA class of logarithmically completely monotonic functions
The main object of this work is to give some conditions for a class of functions to be logarithmically completely monotonic. Our result is shown to be an extension of a result which was proven in the recent literature on this subject. c © 2008 Elsevier Ltd. All rights reserved.
متن کاملSupplements to a class of logarithmically completely monotonic functions associated with the gamma function
In this article, a necessary and sufficient condition and a necessary condition are established for a function involving the gamma function to be logarithmically completely monotonic on (0,∞). As applications of the necessary and sufficient condition, some inequalities for bounding the psi and polygamma functions and the ratio of two gamma functions are derived. This is a continuator of the pap...
متن کاملTwo Logarithmically Completely Monotonic Functions Connected with Gamma Function
In this paper, the logarithmically complete monotonicity results of the functions [Γ(1 + x)]y/Γ(1 + xy) and Γ(1 + y)[Γ(1 + x)]y/Γ(1 + xy) are established.
متن کاملA Class of Logarithmically Completely Monotonic Functions Associated with the Gamma Function
In this article, a necessary condition, several sufficient conditions and a sufficient and necessary condition for a class of functions involving the gamma function to be logarithmically completely monotonic are established, and then some known results are extended.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Positivity
سال: 2016
ISSN: 1385-1292,1572-9281
DOI: 10.1007/s11117-016-0431-3