On Properties of Certain Subclasses Harmonic Functions Defined by Using the Quantum Derivative

Document Type : Original Article

Authors

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt

Abstract

By using the q-difference Operator we investigate some properties of certain subclasses of harmonic functions defined by using the quantum calculus. We obtain the coefficient estimates and partial sums inequalities of these subclasses. By using the q-difference Operator we investigate some properties of certain subclasses of harmonic functions defined by using the quantum calculus. We obtain the coefficient estimates and partial sums inequalities of these subclasses. By using the q-difference Operator we investigate some properties of certain subclasses of harmonic functions defined by using the quantum calculus. We obtain the coefficient estimates and partial sums inequalities of these subclasses. By using the q-difference Operator we investigate some properties of certain subclasses of harmonic functions defined by using the quantum calculus. We obtain the coefficient estimates and partial sums inequalities of these subclasses. By using the q-difference Operator we investigate some properties of certain subclasses of harmonic functions defined by using the quantum calculus. We obtain the coefficient estimates and partial sums inequalities of these subclasses.

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