English

Asymptotics of generalised trinomial coefficients

Number Theory 2012-07-03 v3 Classical Analysis and ODEs

Abstract

It is shown how to obtain an asymptotic expansion of the generalised central trinomial coefficient [xn](x2+bx+c)n[x^n](x^2 + bx + c)^n by means of singularity analysis, thus proving a conjecture of Zhi-Wei Sun.

Keywords

Cite

@article{arxiv.1205.5402,
  title  = {Asymptotics of generalised trinomial coefficients},
  author = {Stephan Wagner},
  journal= {arXiv preprint arXiv:1205.5402},
  year   = {2012}
}
R2 v1 2026-06-21T21:08:56.146Z