摘要

We provide a full asymptotic analysis of the Norlund polynomials and Stirling polynomials. We give a general asymptotic expansion-to any desired degree of accuracy-when the parameter is not an integer. We use singularity analysis, Hankel contours, and transfer theory. This investigation was motivated by a need for such a complete asymptotic description, with parameter 1/2, during this author's recent solution of Wilf's 3rd (previously) Unsolved Problem.

  • 出版日期2012-4

全文