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

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-Szegofor this class is evaluated. Also some geometric results related to sub...

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Veröffentlicht in:AIMS Mathematics 2021-01, Vol.6 (4), p.3037-3052
Hauptverfasser: Ahmad, Bakhtiar, Khan, Muhammad Ghaffar, Frasin, Basem Aref, Aouf, Mohamed Kamal, Abdeljawad, Thabet, Mashwani, Wali Khan, Arif, Muhammad
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Sprache:eng
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Zusammenfassung: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-Szegofor this class is evaluated. Also some geometric results related to subordinations are evaluated for this class in connection with Janowski functions.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021185