Zeros of hypergeometric polynomials \(F(-n,b;-2n;z)\)

DOI10.1006/jath.2000.3548zbMath0996.33008OpenAlexW1980901949MaRDI QIDQ5937255

Kathy A. Driver, Manfred Möller

Publication date: 16 January 2002

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

Full work available at URL: https://doi.org/10.1006/jath.2000.3548

zbMATH Keywords

Jacobi polynomialsasymptotics of zerosCassini curveszeros of hypergeometric polynomials

Mathematics Subject Classification ID

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

Related Items

Classical curve theory in normed planes, Cassini curves in normed planes, Zeros of hypergeometric functions in the \(p\)-adic setting, Asymptotic distributions of the zeros of certain classes of Gauss hypergeometric polynomials, Asymptotic zero distribution of a class of \(_{3}F_{2}\) hypergeometric functions, Zeros of a family of hypergeometric para‐orthogonal polynomials on the unit circle, Asymptotic distributions of the zeros of certain classes of hypergeometric functions and polynomials, Asymptotics of zeros of polynomials arising from rational integrals, Riemann--Hilbert analysis for Jacobi polynomials orthogonal on a single contour, Asymptotic distributions of the zeros of a family of hypergeometric polynomials, Strong asymptotics for Jacobi polynomials with varying nonstandard parameters, Zeros of hypergeometric functions, Quadratic and cubic transformations and zeros of hypergeometric polynomials

Cites Work

• Quadratic and cubic transformations and zeros of hypergeometric polynomials
• ZEROS OF JACOBI POLYNOMIALS WITH VARYING NON-CLASSICAL PARAMETERS
• A Generalization of a Theorem of Bôcher
• Zeros of the hypergeometric polynomials \(F(-n,b;2b;z)\)
• Trajectories of the zeros of hypergeometric polynomials \(F(-n, b; 2b; z)\) for \(b< -\frac{1}{2}\)
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