Asymptotics of Polynomials Orthogonal on a Cross with a Jacobi-Type Weight.

Autor: Barhoumi, Ahmad, Yattselev, Maxim L.
Zdroj: Complex Analysis & Operator Theory; Feb2020, Vol. 14 Issue 1, p1-44, 44p
Abstrakt: We investigate asymptotic behavior of polynomials Q n (z) satisfying non-Hermitian orthogonality relations ∫ Δ s k Q n (s) ρ (s) d s = 0 , k ∈ { 0 , … , n - 1 } , where Δ : = [ - a , a ] ∪ [ - i b , i b ] , a , b > 0 , and ρ (s) is a Jacobi-type weight. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index