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Article

Differential Subordination and Superordination Related to Admissible Functions for Multivalent Functions Associated with Borel Distribution

by
Shahad Kareem Atiyah
1,
Abbas Kareem Wanas
2,* and
Alina Alb Lupas
3,*
1
Department of Mathematics, College of Science, University of Al-Qadisiyah, Al Diwaniyah 58001, Iraq
2
Department of Mathematics, College of Education for Women, University of Al-Qadisiyah, Al Diwaniyah 58001, Iraq
3
Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania
*
Authors to whom correspondence should be addressed.
Symmetry 2026, 18(6), 1015; https://doi.org/10.3390/sym18061015 (registering DOI)
Submission received: 23 April 2026 / Revised: 6 June 2026 / Accepted: 9 June 2026 / Published: 12 June 2026
(This article belongs to the Special Issue Symmetry in Complex Analysis Operators Theory)

Abstract

In this paper, we consider some differential subordination and superordination results for analytic and multivalent functions in the open unit disk related to Borel distribution through investigating appropriate families of admissible functions. These results are applied to obtain differential sandwich results.
Keywords: multivalent functions; admissible functions; differential subordination; differential superordination; Borel distribution multivalent functions; admissible functions; differential subordination; differential superordination; Borel distribution

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MDPI and ACS Style

Atiyah, S.K.; Wanas, A.K.; Lupas, A.A. Differential Subordination and Superordination Related to Admissible Functions for Multivalent Functions Associated with Borel Distribution. Symmetry 2026, 18, 1015. https://doi.org/10.3390/sym18061015

AMA Style

Atiyah SK, Wanas AK, Lupas AA. Differential Subordination and Superordination Related to Admissible Functions for Multivalent Functions Associated with Borel Distribution. Symmetry. 2026; 18(6):1015. https://doi.org/10.3390/sym18061015

Chicago/Turabian Style

Atiyah, Shahad Kareem, Abbas Kareem Wanas, and Alina Alb Lupas. 2026. "Differential Subordination and Superordination Related to Admissible Functions for Multivalent Functions Associated with Borel Distribution" Symmetry 18, no. 6: 1015. https://doi.org/10.3390/sym18061015

APA Style

Atiyah, S. K., Wanas, A. K., & Lupas, A. A. (2026). Differential Subordination and Superordination Related to Admissible Functions for Multivalent Functions Associated with Borel Distribution. Symmetry, 18(6), 1015. https://doi.org/10.3390/sym18061015

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