Applications of higher-order q-derivative operator for a new subclass of meromorphic multivalent q-starlike functions related with the Janowski functions
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Keywords:
q-derivative operator;, q-Calculus, Integral operators, multivalent meromorphic q-starlike functions, Janowski functions., Partial sums;Abstract
In this paper, we expand on the notion of the q-derivative (or q-difference) operator for meromorphic multivalent functions, define the higher- order q-derivative operator for meromorphic multivalent functions associated with quantum calculus, and introduce new subclasses of meromorphic multivalent q- starlike functions in connection with Janowski functions. Linked to meromorphic multivalent q-starlike functions, we investigate a characterisation of the Janowski functions and higher-order q-derivative operators. Among the many potential uses of this class that we investigate are estimates for coefficients, distortion theorems, partial sums, the starlikeness radius, and a few other well-established results.
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