Stable functions and Vietoris' theorem

DOI10.1016/j.jmaa.2003.11.035zbMath1052.30011OpenAlexW2003940436MaRDI QIDQ1433364

Stephan Ruscheweyh, Luis C. Salinas

Publication date: 15 June 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.11.035

zbMATH Keywords

subordinationstable functions Gegenbauer polynomials

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) Polynomials and rational functions of one complex variable (30C10) Real polynomials: analytic properties, etc. (26C05)

Related Items (17)

Some subordination involving polynomials induced by lower triangular matrices ⋮ On stable functions ⋮ Sharp estimates for various trigonometric sums ⋮ An extension of Vietoris's inequalities ⋮ Hypercomplex polynomials, Vietoris' rational numbers and a related integer numbers sequence ⋮ Coefficient conditions for starlikeness of nonnegative order ⋮ Unnamed Item ⋮ An improved Vietoris sine inequality ⋮ On the study of trigonometric polynomials using strum sequence ⋮ Stable functions of Janowski type ⋮ On a conjecture for trigonometric sums and starlike functions ⋮ Stable functions and extension of Vietoris' theorem ⋮ A refinement of Vietoris' inequality for sine polynomials ⋮ Geometric properties of Cesàro averaging operators ⋮ On generalized Cesàro stable functions ⋮ A note on Vietoris' number sequence ⋮ On generalized Vietoris' number sequences

Uses Software

• Mathematica

Cites Work

• On the Kakeya–Eneström Theorem and Gegenbauer Polynomial Sums
• Some Positive Trigonometric Sums
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