Differential Subordination and Differential Superordination for Classes of Admissible Multivalent Functions Associated with a Linear Operator

Ekram E. Ali, Hari M. Srivastava (), Rabha M. El-Ashwah and Abeer M. Albalahi
Additional contact information
Ekram E. Ali: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
Hari M. Srivastava: Department of Mathematics and Staristics, University of Victoria, Victoria, BC V8W 3R4, Canada
Rabha M. El-Ashwah: Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
Abeer M. Albalahi: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi Arabia

Mathematics, 2022, vol. 10, issue 24, 1-20

Abstract: In this paper, we first introduce a linear integral operator ℑ p ( a , c , μ ) ( μ > 0 ; a , c ∈ R ; c > a > − μ p ; p ∈ N + : = { 1 , 2 , 3 , … } ) , which is somewhat related to a rather specialized form of the Riemann–Liouville fractional integral operator and its varied form known as the Erdélyi–Kober fractional integral operator. We then derive some differential subordination and differential superordination results for analytic and multivalent functions in the open unit disk U , which are associated with the above-mentioned linear integral operator ℑ p ( a , c , μ ) . The results presented here are obtained by investigating appropriate classes of admissible functions. We also obtain some Sandwich-type results.

Keywords: analytic functions; univalent; multivalent functions; differential subordination; differential superordination; sandwich-type theorems; admissible function classes; linear operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/24/4690/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/24/4690/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:24:p:4690-:d:999783

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().