New properties of a subclass for a multivalent meromorphic functions with an operator
DOI:
https://doi.org/10.61856/4cq33h32Keywords:
multivalent meromorphic function, convolution properties, Rafid- operator, arithmetic mean, convex linear combinationsAbstract
We note in this study that we have calculated the Rafid- operator on the multivalent meromorphic functions that belong to the class and which is as in . On the punctured unit desk . Introduced defined a Rafid operator by (Atshan et al., (2011)) and also ( Rosy et al. (2013)) studied the same operator on the univalent meromorphic function. Now in this research we studied this operator on the multivalent meromorphic function and we obtain. if an operator which is as in defined , and after entering the operator on the above functions in , we get a new functions . We also introduce a new subclass for these functions with this operator and obtain the necessary and sufficient condition for functions to belong to this class. We also obtain new results for several properties of these functions in , including closed under arithmetic mean , closed under the combinations of convex linear and functions. These results are related to complex analysis in the theory of geometric functions.
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