Yutian Li

activity

20132026

most citedLinear Difference Equations with a Transition Point at the Origin

9 citations · 17 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.CA2013★ 7 cited

Asymptotics of Landau constants with optimal error bounds

Yutian Li, Saiyu Liu, Shuaixia Xu +1

We study the asymptotic expansion for the Landau constants $G_{n}$ $π G_{n} \sim ln N + γ + 4 ln 2 + s = 1 \sum \infty \frac{β _{2 s}}{N ^{2 s}}, n \to \infty,$ where $N = n + 3/4$ , $…

math.CA2013★ 9 cited

Linear Difference Equations with a Transition Point at the Origin

Lihua Cao, Yutian Li

A pair of linearly independent asymptotic solutions are constructed for the second-order linear difference equation {equation*} P_{n+1}(x)-(A_{n}x+B_{n})P_{n}(x)+P_{n-1}(x)=0, {equ…

math.CA2013

Global Asymptotics of Stieltjes-Wigert Polynomials

Y. T. Li, R. Wong

Asymptotic formulas are derived for the Stieltjes-Wigert polynomials $S_{n} (z; q)$ in the complex plane as the degree $n$ grows to infinity. One formula holds in any disc centered at…