47 citations
3 papers
math.FA2019★ 5 cited
Inequalities for selected eigenvalues of the product of matrices
Bo-Yan Xi, Fuzhen Zhang
The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues. We present bounds for sums of eigenvalues of such a product.
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)…