Geometric Properties of Lommel Functions of the First Kind

Autor: Young Jae Sim, Oh Sang Kwon, Nak Eun Cho
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Symmetry, Vol 10, Iss 10, p 455 (2018)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym10100455
Popis: In the present paper, we find sufficient conditions for starlikeness and convexity of normalized Lommel functions of the first kind using the admissible function methods. Additionally, we investigate some inclusion relationships for various classes associated with the Lommel functions. The functions belonging to these classes are related to the starlike functions, convex functions, close-to-convex functions and quasi-convex functions.
Databáze: Directory of Open Access Journals