On the Kakeya–Eneström Theorem and Gegenbauer Polynomial Sums

DOI10.1137/0509049zbMath0391.30010OpenAlexW2053848021MaRDI QIDQ4172271

Stephan Ruscheweyh

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1137/0509049

zbMATH Keywords

Starlike FunctionsExtreme PointsUltraspherical PolynomialsZeros of PolynomialsGegenbauer PolynomialKakeya-Enestroem Theorem

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) 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) Spherical harmonics (33C55) Polynomials and rational functions of one complex variable (30C10)

Related Items (6)

On stable functions ⋮ Zero-free approximants to derivatives of prestarlike functions ⋮ Stable functions and Vietoris' theorem ⋮ On the study of trigonometric polynomials using strum sequence ⋮ On generalized Cesàro stable functions ⋮ Remarks on the preceding paper by Gavin Brown and Edwin Hewitt

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