Theorems regarding starlikeness and convexity
Abstract
In this paper we prove the sharp version of a starlikeness condition. We present a short history of the problem before the proof of the main result.
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Adegani, E.A., Bulboacu{a}, T., Motamednezhad, A., emph{Simple sufficient subordination conditions for close-to-convexity},
Mathematics, {bf 7}(3)(2019), 241.
Adegani, E.A., Bulboacu{a}, T., Motamednezhad, A., emph{Sufficient condition for p-valent strongly starlike functions},
Contemp. Math., {bf 55}(2020), 213-223.
Miller, S.S., Mocanu, P.T., emph{Differential Subordinations: Theory and Applications}, Series of Monographs and Textbooks in Pure Appl. Math., vol. {bf 225}, Marcel Dekker Inc., New York -- Basel, 2000.
Mocanu, P.T., emph{On starlikeness of Libera transform},
Mathematica (Cluj), {bf 28}(51)(1986), no. 2, 153-155.
Mocanu, P.T., emph{New extensions of a theorem of R. Singh and S. Singh,} Mathematica (Cluj), {bf 37}(60)(1995), no. 1-2, 171-182.
Roshian, M.A., emph{On a subclass of starlike functions,}
Rocky Mountain J. Math., {bf 24}(1994), no. 2, 447-454.
Ruscheweyh, S., emph{Convolutions in Geometric Function Theory},
Les Presses De L'Universit'e De Montreal, Montreal, 1982.
Singh, R., Singh, S., emph{Starlikeness and convexity of certain integrals,} Ann. Univ. Mariae Curie-Sklodowska Sect. A, Sect. A, {bf 35}(1981), 45-47.
Sz'asz, R., emph{A sharp criterion for starlikeness,}
Mathematica (Cluj), {bf 48}(71)(2006), no. 1, 89-98.
Sz'asz, R., emph{The sharp version of a criterion for starlikeness related to the operator of Alexander,} Ann. Polon. Math., {bf 94}(2008), no. 1, 1-14.
Sz'asz, R., emph{A sharp criterion for the univalence of Libera operator,} Creat. Math. Inform., {bf 17}(2008), no. 1, 65-71.
Sz'asz, R., Albert, L.R., emph{About a condition for starlikeness,}
J. Math. Anal. Appl., {bf 335}(2007), 1328-1334.
DOI: http://dx.doi.org/10.24193/subbmath.2023.3.05
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