3 papers
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.CA2025
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…
math.CA2024
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…