Certain Geometric Properties of Lommel and Hyper-Bessel Functions

Mathematics

Saima Mushtaq¹  Mohsan Raza¹  MuheyU Din² 

[1] Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan;Department of Mathematics, Government Post Graduate Islamia College Faisalabad, Faisalabad 38000, Pakistan;

关键词: close-to-convexity;    analytic functions;    normalized lommel functions;    normalized hyper-bessel functions;    strongly convexity;    strongly starlikeness;   

DOI  :  10.3390/math7030240

来源: DOAJ

【 摘 要 】

In this article, we are mainly interested in finding the sufficient conditions under which Lommel functions and hyper-Bessel functions are close-to-convex with respect to the certain starlike functions. Strongly starlikeness and convexity of Lommel functions and hyper-Bessel functions are also discussed. Some applications are also the part of our investigation.

【 授权许可】

Unknown