On a new class of p-valent functions with negative coefficients defined by convolution

Abstract

In this paper, we introduce a new class of analytic p-valent functions defined in the open unit disc by using convolution and obtain some results including coefficient inequality, distortion theorems, Hadamard products, radii of starlikeness and convexity and closure theorems of functions in this class.

Keywords

• Analytic functions
• p-valent functions
• Hadamard product
• radii of starlikeness and convexity
• distortion theorem
• coefficient inequality
• closure theorem