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Starlike integral operators

Published online by Cambridge University Press:  17 April 2009

Faiz Ahmad
Faiz Ahmad
Affiliation:
Department of Mathematics, Faculty of Science, P.O. Box 13135, Al-Fateh University, Tripoli, Libya.
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Abstract

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We study integral transforms of functions belonging to the Jakubowski class S(m, M) and determine the range of values of the exponent for which the integral is a convex or a close to convex function.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 32 , Issue 2 , October 1985 , pp. 217 - 224
Copyright
Copyright © Australian Mathematical Society 1985

References

[1]Ahinad, F., “The radius of univalence of a certain integral”, (to appear).Google Scholar
[2]Causey, W.M., “The close to convexity and univalence of an integral”, Math. Z. 99 (1967), 207–212.Google Scholar
[3]Causey, W.M. and Reade, M.O., “On the univalence of functions defined by certain integral transforms”, J. Math. Anal. Appl. 89 (1982), 28–39.CrossRefGoogle Scholar
[4]Jakubowski, Z.J., “On the co-efficients of starlike functions of some classes”, Ann. Polon. Math 26 (1972), 305–313.Google Scholar
[5]Kaplan, W., “Close to convex schlicht functions”, Mich. Math. J. 1 (1952), 169–185.CrossRefGoogle Scholar
[6]Merkes, E.P. and Wright, D.J., “On the univalence of a certain integral”, Proc. Amer. Math. Soc. 27 (1971), 97–100.CrossRefGoogle Scholar
[7]Nunokowa, M., “On the univalence of a certain integral”, Trans. Amer. Math. Soc. 146 (1969), 439–446.CrossRefGoogle Scholar
[8]Pandey, R.K. and Bhargava, G.P., “On convex and starlike univalent functions”, Bull. Austral. Math. Soc. 28 (1983), 393–400.Google Scholar
[9]Patil, D.A. and Thakare, N.K., “On univalence of certain integrals”, Indian J. Pure Appl. Math. 11 (1980), 1626–1642.Google Scholar