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Journal of Siberian Federal University. Mathematics & Physics, 2024, Volume 17, Issue 6, Pages 710–720 (Mi jsfu1203)  

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.
References:
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
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: English
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
Citation in format AMSBIB
\Bibitem{Fra24}
\by Basem~A.~Frasin
\paper Univalence of some integral operators involving Rabotnov fractional exponential function
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2024
\vol 17
\issue 6
\pages 710--720
\mathnet{http://mi.mathnet.ru/jsfu1203}
\edn{https://elibrary.ru/GDFIBS}
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