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-Szegö for this class is evaluated. Also some geometric results related to su...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 4; pp. 3037 - 3052
Main Authors Ahmad, Bakhtiar, Khan, Muhammad Ghaffar, Frasin, Basem Aref, Aouf, Mohamed Kamal, Abdeljawad, Thabet, Mashwani, Wali Khan, Arif, Muhammad
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
janowski functions
lemniscate of bernoulli
meromorphic functions
q-calculus
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Summary: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-Szegö for 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