@article{59849cf67a6f4a818928732cd416ee60, title = "Uniform asymptotic expansion of Charlier polynomials", abstract = "The Charlier polynomials Cn (x) form an orthogonal system on the positive real line x > 0 with respect to the distribution da(x), where a(x) is a step function with jumps at the non-negative integers. Unlike classical orthogonal polynomials, they do not satisfy a second-order linear differential equation. An infinite asymptotic expansion is derived for C^ (nfi), as n —► oo, which holds uniformly for 0<£