Quadratic and cubic transformations and zeros of hypergeometric polynomials

DOI10.1016/S0377-0427(01)00415-0zbMath1001.33003MaRDI QIDQ1612319

Manfred Möller, Kathy A. Driver

Publication date: 22 August 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

ultraspherical polynomialshypergeometric transformations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (5)

Zeros of hypergeometric functions in the \(p\)-adic setting ⋮ A Padé family of iterations for the matrix sign function and related problems ⋮ Zeros of hypergeometric polynomials \(F(-n,b;-2n;z)\) ⋮ Zeros of \({}_3 F_2\) hypergeoemtric polynomials ⋮ Short hyperuniform random walks

Cites Work

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• Zeros of the hypergeometric polynomials \(F(-n,b;2b;z)\)
• Trajectories of the zeros of hypergeometric polynomials \(F(-n, b; 2b; z)\) for \(b< -\frac{1}{2}\)
• Zeros of hypergeometric polynomials \(F(-n,b;-2n;z)\)
• Zeros of ultraspherical polynomials and the Hilbert-Klein formulas

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