Radius of Ma-Minda starlikeness of certain normalised analytic functions
Filomat, Tome 37 (2023) no. 13, p. 4125

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DOI

We find the radius of Ma-Minda starlikeness of normalised analytic functions of the form (z) = z(f ′ (z)) α , α > 0 where f is in the class CV[A, B] of Janowski convex functions and (z) = z(z f ′ (z)/ f (z)) α , α > 0 where f is in the class CV ′ defined. As particular cases, we obtain criteria for these functions to belong to certain Ma-Minda classes.
DOI : 10.2298/FIL2313125K
Classification : 30C80, 30C45
Keywords: Univalent functions, starlike functions, convex functions, subordination, Janowski starlike functions, Janowski convex functions, radius of starlikeness
Priya G Krishnan; V Ravichandran; P Saikrishnan. Radius of Ma-Minda starlikeness of certain normalised analytic functions. Filomat, Tome 37 (2023) no. 13, p. 4125 . doi: 10.2298/FIL2313125K
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     title = {Radius of {Ma-Minda} starlikeness of certain normalised analytic functions},
     journal = {Filomat},
     pages = {4125 },
     year = {2023},
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     doi = {10.2298/FIL2313125K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2313125K/}
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