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Integral means of analytic functions |
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| Authors: | Shigeyoshi Owa Tadayuki Sekine |
| Affiliation: | a Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan b Office of Mathematics, College of Pharmacy, Nihon University, 7-1 Narashinodai 7chome, Funabashi-shi, Chiba 274-8555, Japan |
| Abstract: | For analytic functions f(z) and g(z) which satisfy the subordination f(z)?g(z), J.E. Littlewood [Proc. London Math. Soc. 23 (1925) 481-519] has shown some interesting results for integral means of f(z) and g(z). The object of the present paper is to derive some applications of integral means by J.E. Littlewood. We also show interesting examples for our theorems. |
| Keywords: | Integral means Analytic function Subordination Starlike Convex |
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