Applications of the Symmetric Quantum-Difference Operator for New Subclasses of Meromorphic Functions

Our goal in this article is to use ideas from symmetric q-calculus operator theory the study of meromorphic functions on punctured unit disc and propose a novel q-difference for these functions. A few additional classes are then defined light new operator. We prove many useful conclusions regarding newly constructed functions, such as convolution, subordination features, integral representations, necessary conditions. The technique presented may be used produce wide variety types generalized operators, which can subsequently investigate analytic related quantum calculus.