Analogues of Besicovitch-Wiener Theorem for Heisenberg Group.
We analyze the Charlier polynomials C n(χ) and their zeros asymptotically as n → ∞. We obtain asymptotic approximations, using the limit relation between the Krawtchouk and Charlier polynomials, involving some special functions. We give numerical examples showing the accuracy of our formulas.
We derive the asymptotic spectral distribution of the distance k-graph of N-dimensional hypercube as N → ∞.