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

Authors

  • K. S. Padmanabhan
  • Rajalakshmi Rajagopal
  • C. Selvaraj

DOI:

https://doi.org/10.5556/j.tkjm.34.2003.268

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 $E$.

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.

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Published

2003-03-31

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

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Section

Papers