Some properties of subclass of P-valent function with new generalized operator

What is it about?

We have introduced and investigated the subclass for p-valent functions defined by the new linear operator in this paper. The main objective is to investigate many characteristics, such as coefficient estimates, theorems of distortion, closure theorems, neighborhoods and starlikenessradii, convexity and close-to-convexity of class functions.

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Photo by Boris Balsindes Urquiola on Unsplash

Photo by Boris Balsindes Urquiola on Unsplash

Why is it important?

First of all, we will deduce in this paper a necessary and adequate condition for a function to be in class. Then obtain for these functions the theorems of distortion and growth,closure theorems,neighborhood and radii of p-valent starlikeness,convexity and close-to-convexity of order .