A Note on Meromorphic Functions Associated With Beseel Function Defined by Hilbert Sapce Operator

Abstract

In this paper,we introduce and study a new subclass of meromorphic functions associated with a certain differential operator on Hilbert space. For this class, we obtain several properties like the coefficient inequality, growth and distortion theorem, radius of close-to-convexity, starlikeness and meromorphically convexity and integral transforms. Further, it is shown that this class is closed under convex linear combinations.

Keywords

• meromorphic functions
• bessel functions
• coefficient estimates
• hadamard product
• hilbert space operators
• 30c45
• 30c50