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- Tiangong UniversityCN40 papers
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23 papers · 2 filters
Some bounds for the complete elliptic integrals of the first and second kinds
Bai-Ni Guo, Feng Qi
In the article, the complete elliptic integrals of the first and second kinds are bounded by using the power series expansions of some functions, the celebrated Wallis' inequality,…
More supplements to a class of logarithmically completely monotonic functions associated with the gamma function
Senlin Guo, Feng Qi
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 monoton…
The function : Ratio's properties
Bai-Ni Guo, Feng Qi
In the paper, after reviewing the history, background, origin, and applications of the functions and , we establish suffic…
Bounds for the ratio of two gamma functions--From Gautschi's and Kershaw's inequalities to completely monotonic functions
Feng Qi
In this expository and survey paper, along one of main lines of bounding the ratio of two gamma functions, we look back and analyse some inequalities, the complete monotonicity of…
Bounds for the ratio of two gamma functions--From Wendel's and related inequalities to logarithmically completely monotonic functions
Feng Qi
In this expository and survey paper, along one of main lines of bounding the ratio of two gamma functions, we look back and analyse some inequalities, several complete monotonicity…
Uniqueness of nontrivially complete monotonicity for a class of functions involving polygamma functions
Feng Qi, Bai-Ni Guo
For , let on . In the present paper, we prove using two methods that, among all for $m,n…