Geodesic
Starlikness associated with limacon
Filomat, Tome 37 (2023) no. 3, p. 851

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DOI

Let S * lim represent a subclass of analytic functions f defined in the unit disk such that z f ′ (z) f (z) lies in the interior of the region bounded by the limacon which is given by the equation (u − 1) 2 + v 2 − 1 4 2 − 2 u − 1 + 1 2 2 + v 2 = 0. For this class, we obtain the structural formula, inclusion results and some radii problems for subclasses of starlike functions. Furthermore, we obtain sufficient conditions and coefficient bounds for this class of functions.
DOI : 10.2298/FIL2303851B
Classification : 30C45, 30C50
Keywords: Analytic functions, Sstarlike functions, Radii problems, Limacon 
Khadija Bano; Mohsan Raza. Starlikness associated with limacon. Filomat, Tome 37 (2023) no. 3, p. 851 . doi: 10.2298/FIL2303851B
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     author = {Khadija Bano and Mohsan Raza},
     title = {Starlikness associated with limacon},
     journal = {Filomat},
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     year = {2023},
     volume = {37},
     number = {3},
     doi = {10.2298/FIL2303851B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2303851B/}
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