77 citations · 2.3k across the 111 of their papers we have counts for
11 papers · 1 filter
Complete monotonicity, completely monotonic degree, integral representations, and an inequality related to the exponential, trigamma, and modified Bessel functions
Feng Qi, Shu-Hong Wang
In the paper, the authors verify the complete monotonicity of the difference on , compute the completely monotonic degree and establish integral represe…
Limit formulas for ratios of derivatives of the gamma and digamma functions at their singularities
Feng Qi
In the paper the author simply presents the limit formulas for ratios of derivatives of the gamma function and the digamma function at their singularities.
On the -Genocchi numbers and polynomials with weight zero and their applications
Serkan Araci, Mehmet Acikgoz, Feng Qi
In this paper, the authors deal with the -Genocchi numbers and polynomials with weight zero. They discover some interesting relations via the -adic -integral on $\mathbb{Z…
Limit formulas for ratios of polygamma functions at their singularities
Feng Qi
In the paper the author presents limit formulas for ratios of polygamma functions at their singularities.
Eight interesting identities involving the exponential function, derivatives, and Stirling numbers of the second kind
Feng Qi
In the paper, the author establishes some identities which show that the functions and the derivatives can be expr…
Properties of three functions relating to the exponential function and the existence of partitions of unity
Feng Qi
In the paper, the author studies properties of three functions relating to the exponential function and the existence of partitions of unity, including accurate and explicit comput…
Derivatives of tangent function and tangent numbers
Feng Qi
In the paper, by induction, the Faà di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher order derivatives of the…
Some sharp inequalities involving Seiffert and other means and their concise proofs
Wei-Dong Jiang, Feng Qi
In the paper, by establishing the monotonicity of some functions involving the sine and cosine functions, the authors provide concise proofs of some known inequalities and find som…
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.
Two sharp inequalities for bounding the Seiffert mean by the arithmetic, centroidal, and contra-harmonic means
Wei-Dong Jiang, Jian Cao, Feng Qi
In the paper, the authors find the best possible constants appeared in two inequalities for bounding the Seiffert mean by the linear combinations of the arithmetic, centroidal, and…
A note on the modified q-Genocchi numbers and polynomials with weight (α,β) and their interpolation function at negative integers
Serkan Araci, Mehmet Açikgöz, Feng Qi +1
The purpose of this paper concerns to establish modified q-Genocchi numbers and polynomials with weight (α,β). In this paper we investigate special generalized q-Genocchi polynomia…