Asymptotics for Ménage polynomials and certain hypergeometric polynomials of type \(_{3}F_{1}\)

DOI10.1016/j.jat.2012.04.001zbMath1250.33010OpenAlexW2023502911MaRDI QIDQ435179

Thorsten Neuschel

Publication date: 11 July 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2012.04.001

zbMATH Keywords

strong asymptoticshypergeometric polynomialsasymptotic distribution of zerosMénage polynomialsweak asymptotics

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

Related Items (3)

Complete monotonicity and zeros of sums of squared Baskakov functions ⋮ THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS ⋮ A uniform version of Laplace´s method for contour integrals

Uses Software

• DLMF

Cites Work

• Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter.
• The special functions and their approximations. Vol. I, II
• Asymptotic distributions of the zeros of a family of hypergeometric polynomials
• A uniform version of Laplace´s method for contour integrals
• Permutation Problems and Special Functions
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