18 citations · 32 across the 3 of their papers we have counts for
14 papers
Some extensions for Ramanujan's circular summation formula
Ji-Ke Ge, Qiu-Ming Luo
In this paper, we give some extensions for Ramanujan's circular summation formula with the mixed products of two Jacobi's theta functions. As some applications, we also obtain many…
Complete monotonicity of functions involving the -trigamma and -tetragamma functions
Feng Qi
Let , , and for stand respectively for the -digamma, -trigamma, and -tetragamma functions. In the paper, the author proves along two diff…
Refinements and sharpening of some Huygens and Wilker type inequalities
Wei-Dong Jiang, Qiu-Ming Luo, Feng Qi
In the article, some Huygens and Wilker type inequalities involving trigonometric and hyperbolic functions are refined and sharpened.
Complete monotonicity of a function involving the gamma function and applications
Feng Qi
In the article we present necessary and sufficient conditions for a function involving the logarithm of the gamma function to be completely monotonic and apply these results to bou…
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…