Neighborhoods of Certain Classes of Analytic Functions Defined by Normalized Function az^2 J_ϑ``(z)+bzJ_ϑ`(z)+cJ_ϑ (z)

Authors : Murat ÇAĞLAR, Erhan DENİZ, Sercan KAZIMOĞLU

Pages : 226-232

View : 38 | Download : 10

Publication Date : 2020-12-30

Article Type : Research Paper

Abstract :In this paper, we introduce a new subclass of analytic functions in the open unit disk U with negative coefficients defined by normalized of the az^2 J_ϑ^`` insert ignore into journalissuearticles values(z);+bzJ_ϑ^` insert ignore into journalissuearticles values(z);+cJ_ϑ insert ignore into journalissuearticles values(z); function, where J_ϑ insert ignore into journalissuearticles values(z); is called the Bessel function of the first kind of order ϑ. The object of the present paper is to determine coefficient inequalities, inclusion relations and neighborhoods properties for functions finsert ignore into journalissuearticles values(z); belonging to this subclass.
Keywords : Analytic function, starlike and convex functions, Bessel function, neighborhoods, coefficient inequality, inclusion relation

ORIGINAL ARTICLE URL