Analytic function that map the unit disk into the inside of the lemniscate of Bernoulli

DOI10.3934/mfc.2022036zbMath1530.30030OpenAlexW4312346946MaRDI QIDQ6112859

Vravi Ravichandran, Shalu Yadav

Publication date: 7 August 2023

Published in: Mathematical Foundations of Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mfc.2022036

zbMATH Keywords

subordinationstar-like functionslemniscate of Bernoulli

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Cites Work

• Starlike functions associated with a cardioid
• Sufficient conditions for starlike functions associated with the lemniscate of Bernoulli
• Differential subordination for functions associated with the lemniscate of Bernoulli
• A subclass of starlike functions associated with a rational function
• Differential subordination related to conic sections
• On a subclass of strongly starlike functions associated with exponential function
• Applications of subordination theory to starlike functions
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• Applications of q-Calculus in Operator Theory
• Starlikeness associated with lemniscate of Bernoulli
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