Inequalities and Numerical Bounds for Zeros of Ultraspherical Polynomials

DOI10.1137/0517070zbMath0597.33012OpenAlexW2056080475MaRDI QIDQ3729316

Renato Spigler, Martin E. Muldoon, Shafique Ahmed

Publication date: 1986

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0517070

zbMATH Keywords

monotonicityzerosinequalitySturm comparison theoremultraspherical polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (13)

Árpád Elbert, 1939--2001: A memorial tribute. ⋮ Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials ⋮ Some monotonicity results on the zeros of the generalized Laguerre polynomials ⋮ Zeros of Gegenbauer and Hermite polynomials and connection coefficients ⋮ A survey on Markov's theorem on zeros of orthogonal polynomials ⋮ Monotonicity of zeros of Jacobi polynomials ⋮ On the behaviour of zeros of Jacobi polynomials ⋮ On Markov's theorem on zeros of orthogonal polynomials revisited ⋮ Differential inequalities of functions involving the lowest zero of some associated orthogonalq-polynomials ⋮ Some recent results on the zeros of Bessel functions and orthogonal polynomials ⋮ 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 of zeros of Laguerre polynomials ⋮ Monotonicity properties of the zeros of ultraspherical polynomials

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