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On certain inequalities for some regular functions defined on the unit disc

Published online by Cambridge University Press:  17 April 2009

Ming-Po Chen  and
Ih-Ren Lan
Ming-Po Chen
Affiliation:
Institute of Mathematics, Academia Sinica, Nankang, Taipei, Taiwan, Republic of China
Ih-Ren Lan
Affiliation:
Institute of Mathematics, Academia Sinica, Nankang, Taipei, Taiwan, Republic of China
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Abstract

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In this paper we obtain some inequalities for some regular functions f defined on the unit disc. Our results include or improve several previous results.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 35 , Issue 3 , June 1987 , pp. 387 - 396
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Bernardi, S. D., “Convex and starlike functions”, Trans. Amer. Math. Soc. 135 (1969), 429–446.CrossRefGoogle Scholar
[2]Goel, R. M. and Sohi, N. S., “Subclasses of univalent functions”, Tamkang J. Math. 11 (1980), 77–81.Google Scholar
[3]Jack, I. S., “Functions starlike and convex of order α”, J. London Math. Soc. (2) 3 (1971), 469–474.CrossRefGoogle Scholar
[4]Libera, R. J., “Some classes of regular univalent functions”, Proc. Amer. Math. Soc. 16 (1965), 755–758.CrossRefGoogle Scholar
[5]Obradovic, M., “Estimates of the real part of f (z)/z for some classes of univalent functions”, Mat. Vesnik 36 (4) (1984), 266–270.Google Scholar
[6]Obradovic, M., “On certain inequalities for some regular functions in |z| < 1”, Internat. J. Math, and Math. Sci. 8 (1985), 677–681.CrossRefGoogle Scholar
[7]Obradovic, M. and Owa, S., “On some results of convex functions of order α”, Mat. Vesnik, (to appear).Google Scholar
[8]Shukla, S. L. and Kumar, V., “Univalent functions defined by Ruscheweyh derivatives”, Internat. J. Math, and Math. Sci., 6 (1983), 483–486.CrossRefGoogle Scholar
[9]Singh, S. and Singh, R., “New subclasses of univalent functions”, Indian Math. Soc., 43 (1979), 149–159.Google Scholar
[10]Soni, A. K., “Generalizations of p-valent functions via the Hadamard product”, Internat. J. Math, and Math. Sci. 5 (1982) 289–299.CrossRefGoogle Scholar
[11]Strohacker, E., “Beitrage zur theorie der schlichten funkitone”, Math. Z., 37 (1933), 256–280.CrossRefGoogle Scholar