Ebrahim Analouei Adegani, Teodor Bulboacă

New properties of the generalized Dini function

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 $\nu$, modified Dini function starlike, convex and close-to-convex functions of order $\alpha$,

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