The Booth lemniscate starlikeness radius for Janowski starlike functions

DOI10.1007/s40840-022-01340-xzbMath1502.30054arXiv2201.01042OpenAlexW4221164282MaRDI QIDQ2082419

Somya Malik, Rosihan Mohamed Ali, Vravi Ravichandran

Publication date: 4 October 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.01042

zbMATH Keywords

subordinationJanowski star-like functionsradius of star-likenessBooth lemniscate

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

• Convolution and differential subordination
• On Booth lemniscate and starlike functions
• On the behaviour of analytic representation of the generalized Pascal snail
• Radius of convexity and radius of starlikeness for some classes of analytic functions
• Differential subordination and radius estimates for starlike functions associated with the Booth lemniscate
• Extremal problems for a family of functions with positive real part and for some related families
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