Sufficient conditions for close-to-convexity of an analytic function in the unit disc

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K. S. Padmanabhan
Rajalakshmi Rajagopal
C. Selvaraj

Abstract

Recently C. Ramesha and others have derived a sufficient condition for functions analytic in the unit disc to be starlike. Subsequently M. Nunokowa and others have improved the earlier results of C. Ramesha and others. In this paper we generalise the results of C. Ramesha and others in a different direction and obtain sufficient conditions for $f(z)$ to be close-to-convex in the unit disc $E$.

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How to Cite
Padmanabhan, K. S., Rajagopal, R., & Selvaraj, C. (2003). Sufficient conditions for close-to-convexity of an analytic function in the unit disc. Tamkang Journal of Mathematics, 34(1), 17–20. https://doi.org/10.5556/j.tkjm.34.2003.268
Section
Papers
Author Biographies

K. S. Padmanabhan

M73/2, 31st Cross Street, Beasant Nagar, Chennai−600090.

Rajalakshmi Rajagopal

Department of Mathematics, Loyola College, Chennai-600034.

C. Selvaraj

Department of Mathematics, L. N. Government College, Ponneri-601204.