Geometric properties of some Lommel and Struve functions
From MaRDI portal
Publication:513361
DOI10.1007/s11139-015-9724-6zbMath1361.30021arXiv1410.5217OpenAlexW3105720759MaRDI QIDQ513361
Publication date: 6 March 2017
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.5217
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)
Related Items
Bounds for radii of convexity of some $q$-Bessel functions ⋮ Radii problems for the function aɀ²Jᵥ″(ɀ)+bɀJǖ5′(ɀ)+cJᵥ(ɀ) ⋮ On starlikeness of regular Coulomb wave functions ⋮ Starlike and convexity properties of \(q\)-Bessel-struve functions ⋮ Two-sided inequalities for the Struve and Lommel functions ⋮ Bounds for radii of starlikeness of some \(q\)-Bessel functions ⋮ Zeros of Bessel function derivatives ⋮ Radii of starlikeness and convexity of a cross-product of Bessel functions ⋮ Radius of \(\gamma\)-spirallikeness of order \(\alpha\) of some special functions ⋮ Radii of starlikeness and convexity of some entire functions ⋮ Exponential starlikeness and convexity of confluent hypergeometric, Lommel, and Struve functions ⋮ Radii of uniform convexity of some special functions ⋮ Bounds for radii of starlikeness and convexity of some special functions ⋮ The radius of starlikeness, convexity and uniform convexity of the Legendre polynomials of odd degree ⋮ Radii of uniform convexity of Lommel and Struve functions ⋮ Radii of starlikeness and convexity of Wright functions ⋮ Radii problems for the generalized Mittag-Leffler functions ⋮ Radii of starlikeness and convexity of a product and cross-product of Bessel functions ⋮ Radii problems for normalized \(q\) Bessel and Wright functions ⋮ The geometric characterizations for a combination of generalized Struve functions ⋮ Applications of third order differential subordination and superordination involving generalized struve function
Cites Work
- Unnamed Item
- Unnamed Item
- Turán type inequalities for Struve functions
- Starlikeness and convexity of generalized Struve functions
- Radii of starlikeness and convexity of some \(q\)-Bessel functions
- Radii of starlikeness of some special functions
- The zeros of certain Lommel functions
- The radius of convexity of normalized Bessel functions of the first kind
- Turán-Type Inequalities for Some Lommel Functions of the First Kind
- The Real Zeros of Struve’s Function
- The Sign of Lommel's Function
- On inequalities of the Turán type
- Close-to-convexity of some special functions and their derivatives