Dongsu Kim

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We prove a formula for the linearization coefficients of the general Sheffer polynomials, which unifies all the special known results for Hermite, Charlier, Laguerre, Meixner and Meixner-Pollaczek polynomials. Furthermore, we give a new and explicit real version of the corresponding formula for Meixner-Pollaczek polynomials. Our proof is based on some(More)
For a permutation π = π 1 π 2 · · · π n ∈ S n and a positive integer i ≤ n, we can view π 1 π 2 · · · π i as an element of S i by order-preserving relabeling. The j-set of π is the set of i's such that π 1 π 2 · · · π i is an involution in S i. We prove a characterization theorem for j-sets, give a generating function for the number of different j-sets of(More)