The radius of starlikeness, convexity and uniform convexity of the Legendre polynomials of odd degree

DOI10.1007/S00025-019-0975-1zbMath1412.30029OpenAlexW2914372460WikidataQ128486172 ScholiaQ128486172MaRDI QIDQ667590

Olga Engel, Serap Bulut

Publication date: 28 February 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-0975-1

zbMATH Keywords

radius of starlikenessLegendre polynomialsradius of convexity

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (3)

Radius of \(\gamma\)-spirallikeness of order \(\alpha\) of some special functions ⋮ Radii problems for some classes of analytic functions associated with Legendre polynomials of odd degree ⋮ Certain geometric properties of the canonical Weierstrass product of an entire function associated with conic domains

Cites Work

• The radius of convexity of normalized Bessel functions
• Geometric properties of some Lommel and Struve functions
• The radius of uniform convexity of Bessel functions
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• Radii of uniform convexity of some special functions
• Geometric properties of the functions Γ and 1/Γ
• The radius of starlikeness of normalized Bessel functions of the first kind
• On uniformly convex functions

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