On a class of polynomials connected to Bell polynomials

In this paper, we study a class of sequences of polynomials linked to the sequence of Bell polynomials. Some sequences of this class have applications on the theory of hyperbolic differential equations and other sequences generalize Laguerre polynomials and associated Lah polynomials. We discuss, for these polynomials, their explicit expressions, relations to the successive derivatives of a given function, real zeros and recurrence relations. Some known results are significantly simplified.Comment: 13 page

The Tax Subsidy to Employment-Based Health Insurance and the Distribution of Well-Being

Pauly considers some recent contrasting views on the distributional effects of the tax subsidy within employment groups. He shows that the correct answer depends on what one assumes to be the within-group incidence of the reduction in money wages that occurs when group insurance is part of a competitive compensation package

On minimal norms on MnM_n

In this note, we show that for each minimal norm $N(\cdot)$ on the algebra $M_n$ of all $n \times n$ complex matrices, there exist norms $\|\cdot\|_1$ and $\|\cdot\|_2$ on ${\mathbb C}^n$ such that $$N(A)=\max\{\|Ax\|_2: \|x\|_1=1, x\in {\mathbb C}^n\}$$ for all $A \in M_n$. This may be regarded as an extension of a known result on characterization of minimal algebra norms.Comment: 4 pages, to appear in Abstract and Applied Analysi