On some problems of James Miller
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B. Bhowmik
ditya@iitm.ac.in
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K.-J. Wirths
kjwirths@tu-bs.de
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S. Ponnusamy
samy@iitm.ac.in
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DOI:
https://doi.org/10.4067/S0719-06462010000100003Abstract
We consider the class of meromorphic univalent functions having a simple pole at p ∈ (0, 1) and that map the unit disc onto the exterior of a domain which is starlike with respect to a point ð“Œ0 ≠0, ∞. We denote this class of functions by Σ∗ (p, ð“Œ0). In this paper, we find the exact region of variability for the second Taylor coefficient for functions in Σ∗ (p, ð“Œ0). In view of this result we rectify some results of James Miller.
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Published
2010-03-01
How to Cite
[1]
B. Bhowmik, K.-J. Wirths, and S. Ponnusamy, “On some problems of James Miller”, CUBO, vol. 12, no. 1, pp. 15–21, Mar. 2010.
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