“…2 Kinki University, Higashi-Osaka, Osaka, 577-8502, Japan. 3 Pukyong National University, Pusan, 608-737, Korea. 4 Department of Mathematics, Rzeszów University of Technology, Al.…”
We estimate | Arg{p(z)}| for functions of the form p(z) = 1 + a 1 z + a 2 z 2 + a 3 z 3 + · · · in the unit disc D = {z : |z| < 1} under several assumptions. By using Nunokawa's lemma, we improve a few of Mocanu's results obtained by differential subordinations. Some applications for strongly starlikeness and convexity are formulated. MSC: Primary 30C45; secondary 30C80
“…2 Kinki University, Higashi-Osaka, Osaka, 577-8502, Japan. 3 Pukyong National University, Pusan, 608-737, Korea. 4 Department of Mathematics, Rzeszów University of Technology, Al.…”
We estimate | Arg{p(z)}| for functions of the form p(z) = 1 + a 1 z + a 2 z 2 + a 3 z 3 + · · · in the unit disc D = {z : |z| < 1} under several assumptions. By using Nunokawa's lemma, we improve a few of Mocanu's results obtained by differential subordinations. Some applications for strongly starlikeness and convexity are formulated. MSC: Primary 30C45; secondary 30C80
“…Recently, a number of results for argument properties of analytic functions have been obtained by several authors (see, e.g., [1][2][3][4][5]). The objective of the present paper is to derive some further interesting properties of multivalent analytic functions.…”
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