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On $ q $-analogue of meromorphic multivalent functions in lemniscate of Bernoulli domain
- 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.
- Subjects :
- Pure mathematics
Class (set theory)
Geometric function theory
Mathematics::Complex Variables
lcsh:Mathematics
General Mathematics
lemniscate of bernoulli
janowski functions
Field (mathematics)
lcsh:QA1-939
Domain (mathematical analysis)
Connection (mathematics)
Lemniscate of Bernoulli
meromorphic functions
q-calculus
Mathematics
Meromorphic function
Subjects
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