Abstract Let Γ (x) \varGamma(x) denote the classical Euler gamma function. The logarithmic
derivative ψ (x)= ln Γ (x)′= Γ′(x) Γ (x) ψ(x)=\ln\varGamma(x)'=\varGamma'(x)\varGamma(x) …

The main objective of this article is to give and classify new formulas of $ p $-adic integrals
and blend these formulas with previously well known formulas. Therefore, this article gives …

In the paper, after concisely surveying some closed formulas and applications of special
values of the Bell polynomials of the second kind for some special sequences and …

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 …

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In the paper, the authors discuss the Bell polynomials and a sequence of polynomials
applied to the theory of differential equations. Concretely speaking, the authors find four …

In the paper, the authors establish by two approaches several explicit formulas for special
values of the Bell polynomials of the second kind, derive explicit formulas for the Euler …

Series expansions of powers of arcsine, closed forms for special values of Bell polynomials,
and series representations of gener Page 1 http://www.aimspress.com/journal/Math AIMS …

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 a family of the …

The main motivation of this paper is to investigate some derivative properties of the
generating functions for the numbers Y n (λ) and the polynomials Y n (x; λ), which were …