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Pascu-Rønning Type Meromorphic Functions Based on Sălăgean-Erdély–Kober Operator

Authors :
Sheza M. El-Deeb
Gangadharan Murugusundaramoorthy
Kaliappan Vijaya
Alhanouf Alburaikan
Source :
Axioms, Vol 12, Iss 4, p 380 (2023)
Publication Year :
2023
Publisher :
MDPI AG, 2023.

Abstract

In the present investigation, we introduce a new class of meromorphic functions defined in the punctured unit disk Δ*:={ϑ∈C:0<|ϑ|<1} by making use of the Erdély–Kober operator Iς,ϱτ,κ which unifies well-known classes of the meromorphic uniformly convex function with positive coefficients. Coefficient inequalities, growth and distortion inequalities, in addition to closure properties are acquired. We also set up a few outcomes concerning convolution and the partial sums of meromorphic functions in this new class. We additionally state some new subclasses and its characteristic houses through specializing the parameters that are new and no longer studied in association with the Erdély–Kober operator thus far.

Details

Language :
English
ISSN :
20751680
Volume :
12
Issue :
4
Database :
Directory of Open Access Journals
Journal :
Axioms
Publication Type :
Academic Journal
Accession number :
edsdoj.25171adb9c44a6eac3665d3077287e6
Document Type :
article
Full Text :
https://doi.org/10.3390/axioms12040380