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On the spiral-likeness of rational functions

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Abstract

The object of this paper is to extend some results concerning the univalence, starlikeness, and convexity of rational functions recently obtained by Reade, Silverman, and Todorov. The domain of variability of log{f(z)/z} for a fixedz and for such functionsf ranging over the class of λ-spirallike functions of order α are also determined.

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Authors and Affiliations

  1. Department of Mathematics, University of Papua New Guinea, Box 320, University P.O., Papua New Guinea

    Ahuja Om P. & Pawan K. Jain

  2. Department of Mathematics, University of Delhi, India

    Ahuja Om P. & Pawan K. Jain

Authors
  1. Ahuja Om P.
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  2. Pawan K. Jain
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Ahuja, O.P., Jain, P.K. On the spiral-likeness of rational functions. Rend. Circ. Mat. Palermo 35, 376–385 (1986). https://doi.org/10.1007/BF02843905

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  • DOI: https://doi.org/10.1007/BF02843905

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