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Journal of Siberian Federal University. Mathematics & Physics, 2024, Volume 17, Issue 6, Pages 710–720
(Mi jsfu1203)
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Univalence of some integral operators involving Rabotnov fractional exponential function
Basem A. Frasinab a Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan
b Jadara Research Center, Jadara University, Irbid 21110, Jordan.
Abstract:
In this paper, we introduce three new integral operators involving normalized Rabotnov fractional exponential functions $\mathbb{R}_{\alpha,\beta}(z)$. Furthermore, we shall find sufficient conditions for these integral operators. Finally, some special cases are deduced for different values of $\alpha$ and $\beta$.
Keywords:
analytic functions, integral operators, Rabotnov function.
Received: 12.06.2024 Received in revised form: 15.07.2024 Accepted: 24.09.2024
Citation:
Basem A. Frasin, “Univalence of some integral operators involving Rabotnov fractional exponential function”, J. Sib. Fed. Univ. Math. Phys., 17:6 (2024), 710–720
Linking options:
https://www.mathnet.ru/eng/jsfu1203 https://www.mathnet.ru/eng/jsfu/v17/i6/p710
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