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Starlike meromorphic functions. (English) Zbl 0235.30012


MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30D30 Meromorphic functions of one complex variable (general theory)
30C50 Coefficient problems for univalent and multivalent functions of one complex variable
Full Text: DOI

References:

[1] W. K. Hayman, On functions with positive real part, J. London Math. Soc. 36 (1961), 35 – 48. · Zbl 0097.06103 · doi:10.1112/jlms/s1-36.1.35
[2] James A. Jenkins, On a conjecture of Goodman concerning meromorphic univalent functions., Michigan Math. J. 9 (1962), 25 – 27. · Zbl 0112.05102
[3] F. R. Keogh, Some theorems on conformal mapping of bounded star-shaped domains, Proc. London Math. Soc. (3) 9 (1959), 481 – 491. · Zbl 0093.27406 · doi:10.1112/plms/s3-9.4.481
[4] Yûsaku Komatu, Note on the theory of conformal representation by meromorphic functions. I, Proc. Japan Acad. 21 (1945), 269 – 277 (1949).
[5] James Miller, Convex meromorphic mappings and related functions, Proc. Amer. Math. Soc. 25 (1970), 220 – 228. · Zbl 0196.09202
[6] Ch. Pommerenke, On starlike and convex functions, J. London Math. Soc. 37 (1962), 209 – 224. · Zbl 0107.06501 · doi:10.1112/jlms/s1-37.1.209
[7] M. S. Robertson, Star center points of multivalent functions, Duke Math. J. 12 (1945), 669 – 684. · Zbl 0060.20901
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