Asymptotic Formulas for Ultraspherical Polynomials P (λ) n (X) and their Zeros for Large Values of λ

DOI10.2307/2159657zbMath0742.33009OpenAlexW4244898900MaRDI QIDQ3987558

Andrea Laforgia, Árpád Elbert

Publication date: 28 June 1992

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159657

zbMATH Keywords

zeros of polynomialsHermite polynomialultraspherical polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spherical harmonics (33C55)

Related Items (10)

Árpád Elbert, 1939--2001: A memorial tribute. ⋮ Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials ⋮ Zeros of Gegenbauer and Hermite polynomials and connection coefficients ⋮ On the Largest Critical Value of $T_n^(k)$ ⋮ On spherical designs of some harmonic indices ⋮ Some recent results on the zeros of Bessel functions and orthogonal polynomials ⋮ The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis ⋮ Asymptotic behaviour of Jacobi polynomials and their zeros ⋮ Proceedings of the sixth international symposium on orthogonal polynomials, special functions and their applications, Rome, Italy, June 18--22, 2001. Dedicated to the memory of Professor Árpád Elbert ⋮ Monotonicity properties of the zeros of ultraspherical polynomials

This page was built for publication: Asymptotic Formulas for Ultraspherical Polynomials P (λ) n (X) and their Zeros for Large Values of λ