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Some monotonicity properties of the zeros of ultraspherical polynomials

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Publication:1087683
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DOI10.1007/BF01949060zbMath0611.33011OpenAlexW2007396565MaRDI QIDQ1087683

Andrea Laforgia, Árpád Elbert

Publication date: 1986

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01949060


zbMATH Keywords

monotonicityGegenbauer polynomialultraspherical polynomialsSturm comparison theorem


Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Spherical harmonics (33C55)


Related Items (3)

Monotonicity results on the zeros of generalized Laguerre polynomials ⋮ Turán type inequalities for generalized complete elliptic integrals ⋮ On some Turán-type inequalities



Cites Work

  • A Monotonic Property for the Zeros of Ultraspherical Polynomials
  • On the Spacing of the Zeros of Some Classical Orthogonal Polynomials




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