9 citations · 17 across the 6 of their papers we have counts for
7 papers
Pólya's Conjecture for the Neumann Eigenvalues on Euclidean Balls
Yutian Li
We prove Pólya's conjectured lower bound for the Neumann eigenvalue counting function of Euclidean balls. If is the ball of radius , then, for every $d…
Derivation and local well-posedness of a relativistic quantum hydrodynamic system on the Heisenberg group
Ben Duan, Yutian Li, Rongrong Yan +1
We derive and analyze a relativistic quantum hydrodynamic (RQHD) system on the Heisenberg group. Starting from the Klein--Gordon--Poisson system, we apply the Madelung transformati…
On the Decomposition of Differential Game
Nanxiang Zhou, Jing Dong, Yutian Li +1
To understand the complexity of the dynamic of learning in differential games, we decompose the game into components where the dynamic is well understood. One of the possible tools…
Pricing Stocks with Trading Volumes
Ben Duan, Yutian Li, Dawei Lu +2
The present paper proposes a new framework for describing the stock price dynamics. In the traditional geometric Brownian motion model and its variants, volatility plays a vital ro…
Asymptotics of Landau constants with optimal error bounds
Yutian Li, Saiyu Liu, Shuaixia Xu +1
We study the asymptotic expansion for the Landau constants where , $…
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…
Global Asymptotics of Stieltjes-Wigert Polynomials
Y. T. Li, R. Wong
Asymptotic formulas are derived for the Stieltjes-Wigert polynomials in the complex plane as the degree grows to infinity. One formula holds in any disc centered at…