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math.CA2025
Error bounds for the asymptotic expansions of the Jacobi polynomials
Xiao-Min Huang, Yu Lin, Xiang-Sheng Wang +1
This paper aims to derive explicit and computable error bounds for the asymptotic expansion of the Jacobi polynomials as their degree approaches infinity, using an integral method.…
math.CA2019★ 1 cited
Asymptotics of the Charlier polynomials via difference equation methods
Xiao-Min Huang, Yu Lin, Yu-Qiu Zhao
We derive uniform and non-uniform asymptotics of the Charlier polynomials by using difference equation methods alone. The Charlier polynomials are special in that they do not fit i…