77 citations · 2.3k across the 111 of their papers we have counts for
16 papers · 1 filter
A new explicit formula for Bernoulli and Genocchi numbers in terms of Stirling numbers
Bai-Ni Guo, Feng Qi
In the paper, the authors review some explicit formulas and establish a new explicit formula for Bernoulli and Genocchi numbers in terms of Stirling numbers of the second kind.
Inequalities of Hermite-Hadamard type for extended -convex functions and applications to means
Bo-Yan Xi, Feng Qi
In the paper, the authors introduce a new concept "extended -convex functions", establish some new integral inequalities of Hermite-Hadamard type for this kind of functions, and…
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…
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)…
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…
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+…
An explicit formula for Bell numbers in terms of Stirling numbers and hypergeometric functions
Feng Qi
In the paper, the author finds an explicit formula for computing Bell numbers in terms of Kummer confluent hypergeometric functions and Stirling numbers of the second kind.
An explicit formula for Bernoulli polynomials in terms of -Stirling numbers of the second kind
Bai-Ni Guo, István Mező, Feng Qi
In the paper, the authors establish an explicit formula for computing Bernoulli polynomials at non-negative integer points in terms of -Stirling numbers of the second kind.
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.
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…
Diagonal recurrence relations, inequalities, and monotonicity related to Stirling numbers
Feng Qi
In the paper, the author derives several "diagonal" recurrence relations, constructs some inequalities, finds monotonicity, and poses a conjecture related to Stirling numbers of th…
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…
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.
An explicit formula for Bernoulli numbers in terms of Stirling numbers of the second kind
Feng Qi
In the note, the author discovers an explicit formula for computing Bernoulli numbers in terms of Stirling numbers of the second kind.
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.
Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers
Bai-Ni Guo, Feng Qi
In the paper, the authors provide four alternative proofs of an explicit formula for computing Bernoulli numbers in terms of Stirling numbers of the second kind.