IJPAM: Volume 118, No. 3 (2018)

Title

SANDWICH-TYPE OUTCOME BASED ON
A DUAL LINEAR OPERATOR

Authors

Hiba F. Al-Janaby$^1$, F. Ghanim$^*2$
$^1$Department of Mathematics
College of Science
University of Baghdad
Baghdad, IRAQ
$^2$Department of Mathematics
College of Science
University of Sharjah
Sharjah, UNITED ARAB EMIRATES

Abstract

By using a dual linear operator that we define it on meromorphic multivalent functions (MMF) in the punctured unit disk ${\cal U}^*$, we derive some third-order differential subordination and superordination outcomes by taking into account the appropriate class of admissible functions. Sufficient conditions are determined to yield the best dominant and the best subordinant, respectively. Moreover, sandwich-type outcome is obtained.

History

Received: May 12, 2017
Revised: January 22, 2018
Published: April 22, 2018

AMS Classification, Key Words

AMS Subject Classification: 30C45, 30C50, 26A33
Key Words and Phrases: meromorphic functions, multivalent functions, differential subordination and superordination

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Bibliography

1
R. M. El-Ashwah, A note on certain meromorphic $p$-valent functions, Applied Mathematics Letters, 22, No. 11 (2009), 1756-1759.

How to Cite?

DOI: 10.12732/ijpam.v118i3.26 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 118
Issue: 3
Pages: 819 - 835


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