most citedExplicit expressions for a family of Bell polynomials and derivatives of some functions

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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)…