Starlikeness of Analytic Functions with Subordinate Ratios
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Let h be a nonvanishing analytic function in the open unit disc with h 0 = 1 . Consider the class consisting of normalized analytic functions f whose ratios f z / g z , g z / z p z , and p z are each subordinate to h for some analytic functions g and p . The radius of starlikeness of order α is obtained for this class when h is chosen to be either h z = 1 + z or h z = e z . Further, starlikeness radii are also obtained for each of these two classes, which include the radius of Janowski starlikeness, and the radius of parabolic starlikeness.
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1970 ◽
Vol 11
(3)
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pp. 276-280
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2017 ◽
Vol 21
(2)
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pp. 185-193
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Subordination and superordination results of p-valent analytic functions involving a linear operator
2017 ◽
Vol 35
(2)
◽
pp. 223
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1973 ◽
Vol 25
(2)
◽
pp. 420-425
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2011 ◽
Vol 2011
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pp. 1-12
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