Radii problems for some classes of analytic functions associated with Legendre polynomials of odd degree

DOI10.1186/S13660-020-02443-4zbMath1503.30036OpenAlexW3037685210MaRDI QIDQ2069503

Serap Bulut, Teodor Bulboacă, Ebrahim Analouei Adegani, Nak Eun Cho, Ali Ebadian

Publication date: 20 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-020-02443-4

zbMATH Keywords

convex functionsstarlike functionsLegendre polynomialsstrongly starlike functionsradii problems

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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (3)

Starlikeness of a product of starlike functions with non-vanishing polynomials ⋮ Unnamed Item ⋮ Certain geometric properties of the canonical Weierstrass product of an entire function associated with conic domains

Cites Work

• Unnamed Item
• The radius of convexity of normalized Bessel functions
• Radii of starlikeness associated with the lemniscate of Bernoulli and the left-half plane
• The radius of starlikeness, convexity and uniform convexity of the Legendre polynomials of odd degree
• Conic regions and \(k\)-uniform convexity
• Radii of convexity and strong starlikeness for some classes of analytic functions
• On a subclass of starlike functions
• Radii problems for normalized Bessel functions of first kind
• On some class of convex functions
• Radii of starlikeness of some special functions
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• The radius of starlikeness of normalized Bessel functions of the first kind
• Second Hankel determinant for a subclass of analytic bi-univalent functions defined by subordination
• On uniformly convex functions

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