1 citations · 1 across the 5 of their papers we have counts for
8 papers
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.…
Orthogonal polynomials with periodic recurrence coefficients
Dan Dai, Mourad E. H. Ismail, Xiang-Sheng Wang
In this paper, we study a class of orthogonal polynomials defined by a three-term recurrence relation with periodic coefficients. We derive explicit formulas for the generating fun…
Asymptotics, orthogonality relations and duality for the and -symmetric polynomials in the -Askey scheme
Howard S. Cohl, Roberto S. Costas-Santos, Xiang-Sheng Wang
In this survey we summarize the current state of known orthogonality relations for the and -symmetric and dual subfamilies of the Askey--Wilson polynomials in the -A…
A Direct Parallel-in-Time Quasi-Boundary Value Method for Inverse Space-Dependent Source Problems
Yi Jiang, Jun Liu, Xiang-Sheng Wang
Inverse source problems arise often in real-world applications, such as localizing unknown groundwater contaminant sources. Being different from Tikhonov regularization, the quasi-…
Supercritical Hopf Bifurcation of Cooperative Predation
Srijana Ghimire, Xiang-Sheng Wang
In this work, we conduct a rigorous analysis on the dynamics of a predator-prey model with cooperative predation. From the root classification of an algebraic equation, we derive e…
Bivariate Lagrange interpolation at the checkerboard nodes
Lihua Cao, Srijana Ghimire, Xiang-Sheng Wang
In this paper, we derive an explicit formula for the bivariate Lagrange basis polynomials of a general set of checkerboard nodes. This formula generalizes existing results of bivar…