New properties of the generalized Dini function

Authors : Ebrahim ANALOUEİ ADEGANİ, Teodor BULBOACA

Pages : 1753-1760

Doi:10.15672/hujms.552260

View : 20 | Download : 10

Publication Date : 2020-10-06

Article Type : Research Paper

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