- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 5
- New properties of the generalized Dini function
New properties of the generalized Dini function
Authors : Ebrahim Analouei Adegani, Teodor Bulboaca
Pages : 1753-1760
Doi:10.15672/hujms.552260
View : 13 | Download : 5
Publication Date : 2020-10-06
Article Type : Research
Abstract :In this work we study some properties of the normalized form of generalized Dini function like close-to-convexity of some order and close-to-convex with respect to another convex function. Furthermore, we investigate sufficient conditions which these functions are uniformly $k$-starlike functions of complex order $b$ in the open unit disk, and some consequences of the main results are also presented. ****************************************************************************************************************************Keywords : Analytic functions, univalent function, Bessel functions of first kind of order $ u$, modified Dini function, starlike, convex and close-to-convex functions of order $alpha$