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On $ q $-analogue of meromorphic multivalent functions in lemniscate of Bernoulli domain

Authors :
Muhammad Ghaffar Khan
Bakhtiar Ahmad
Thabet Abdeljawad
Muhammad Arif
Wali Khan Mashwani
Basem Aref Frasin
M. K. Aouf
Source :
AIMS Mathematics, Vol 6, Iss 4, Pp 3037-3052 (2021)
Publication Year :
2021
Publisher :
American Institute of Mathematical Sciences (AIMS), 2021.

Abstract

Utilizing the concepts from $ q $-calculus in the field of geometric function theory, we introduce a subclass of $ p $-valent meromorphic functions relating to the domain of lemniscate of Bernoulli. The well known problem of Fekete-Szego for this class is evaluated. Also some geometric results related to subordinations are evaluated for this class in connection with Janowski functions.

Details

ISSN :
24736988
Volume :
6
Database :
OpenAIRE
Journal :
AIMS Mathematics
Accession number :
edsair.doi.dedup.....729fdae9bcc53ec96ac70f3059590bbd
Full Text :
https://doi.org/10.3934/math.2021185