Abu-Donia, H., Atia, H., El-Qadeem, A., Elshazly, I. (2022). On Properties of Certain Subclasses Harmonic Functions Defined by Using the Quantum Derivative. Bulletin of Faculty of Science, Zagazig University, 2022(2), 82-100. doi: 10.21608/bfszu.2022.135024.1128
Hassan M. Abu-Donia; Hany A. Atia; Alaa Hassan El-Qadeem; Ibrahim S. Elshazly. "On Properties of Certain Subclasses Harmonic Functions Defined by Using the Quantum Derivative". Bulletin of Faculty of Science, Zagazig University, 2022, 2, 2022, 82-100. doi: 10.21608/bfszu.2022.135024.1128
Abu-Donia, H., Atia, H., El-Qadeem, A., Elshazly, I. (2022). 'On Properties of Certain Subclasses Harmonic Functions Defined by Using the Quantum Derivative', Bulletin of Faculty of Science, Zagazig University, 2022(2), pp. 82-100. doi: 10.21608/bfszu.2022.135024.1128
Abu-Donia, H., Atia, H., El-Qadeem, A., Elshazly, I. On Properties of Certain Subclasses Harmonic Functions Defined by Using the Quantum Derivative. Bulletin of Faculty of Science, Zagazig University, 2022; 2022(2): 82-100. doi: 10.21608/bfszu.2022.135024.1128
On Properties of Certain Subclasses Harmonic Functions Defined by Using the Quantum Derivative
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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