output
20092021
most citedTwo closed forms for the Bernoulli polynomials

77 citations

Showing 2014Show all

9 papers · 1 filter

math.CA2014★ 47 cited

Explicit expressions for a family of Bell polynomials and derivatives of some functions

Feng Qi, Miao-Miao Zheng

In the paper, the authors first inductively establish explicit formulas for derivatives of the arc sine function, then derive from these explicit formulas explicit expressions for…

math.CA2014★ 29 cited

Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function

Feng Qi

In the paper, the authors establish integral representations of some functions related to the remainder of Burnside's formula for the gamma function and find the (logarithmically)…

math.CA2014★ 26 cited

A double inequality for bounding Toader mean by the centroidal mean

Yun Hua, Feng Qi

In the paper, the authors find the best numbers and such that for all…

math.CA2014★ 11 cited

Bounds for the combination of Toader mean and the arithmetic mean in terms of the contraharmonic mean

Wei-Dong Jiang, Feng Qi

In the paper, the authors find the greatest value and the least value such that the double inequality \begin{multline*} C(λa+(1-λ)b,λb+(1-λ)a)<αA(a,b)+(1-α)T(a,b)\\ < C(μa+…

math.CO2014★ 12 cited

Some integral representations and properties of Lah numbers

Bai-Ni Guo, Feng Qi

In the paper, the authors find some integral representations and discover some properties of Lah numbers.

math.CA2014★ 24 cited

An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind

Feng Qi

In the paper, the author establishes an integral representation for Cauchy numbers of the second kind, finds the complete monotonicity, minimality, and logarithmic convexity of Cau…

math.CO2014★ 14 cited

Six proofs for an identity of the Lah numbers

Bai-Ni Guo, Feng Qi

In the paper, utilizing respectively the induction, a generating function of the Lah numbers, the Chu-Vandermonde summation formula, an inversion formula, the Gauss hypergeometric…

math.NT2014★ 22 cited

An explicit formula for computing Bernoulli numbers of the second kind in terms of Stirling numbers of the first kind

Feng Qi

In the paper, the author finds an explicit formula for computing Bernoulli numbers of the second kind in terms of Stirling numbers of the first kind.

math.CO2014★ 25 cited

An explicit formula for computing Bell numbers in terms of Lah and Stirling numbers

Feng Qi

In the paper, the author finds an explicit formula for computing Bell numbers in terms of Lah numbers and Stirling numbers of the second kind.