On a Subclass of Meromorphic Functions Defined by Hilbert Space Operator

Abstract

In this paper, we define a new operator on the class of meromorphic functions and define a subclass using Hilbert space operator. Coefficient estimate, distortion bounds, extreme points, radii of starlikeness, and convexity are obtained.

New Sandwich-Type Results of Meromorphic Multivalent Functions Defined by Rafid operator

“…Note that, if 𝓅 = 1 in (1.5), the Rafid operator was introduced by Rossy and Varma [17]. (1.8) The fundamental objective of this definition is to identify the appropriate condetions when specific normalized analytic functions can be satisfied:…”

On a subclass of meromorphic functions with positive coefficients defined by rapid operator

“…In [6], Athsan and Kulkarni introduced Rapid -operator for analytic functions and Rosy and Sunil Varma [19] modified their operator to meromorphic functions as follows.…”

Notes on Meromorphic Functions With Positive Coefficients Defined by Rapid Operator Santosh M. Popade, Rajkumar N. Ingle and P.THIRUPATHI Reddy

“…In [1], Atshan and Kulkarni introduced Rapid-operator for analytic functions and Rosy and Sunil Varma [6] modified their operator to meromorphic functions as follows: Lemma 1.1. For f ∈ Σ * given by ( 4), 0 ≤ µ ≤ 1 and 0 ≤ θ ≤ 1, if the operator S θ µ : Σ * → Σ * is defined by…”