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Convex and starlike meromorphic functions. (English) Zbl 0451.30008


MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C50 Coefficient problems for univalent and multivalent functions of one complex variable

Citations:

Zbl 0275.30008
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References:

[1] J. Clunie, On meromorphic schlicht functions, J. London Math. Soc. 34 (1959), 215 – 216. · Zbl 0087.07704 · doi:10.1112/jlms/s1-34.2.215
[2] Richard J. Libera and Albert E. Livingston, Weakly starlike meromorphic univalent functions, Trans. Amer. Math. Soc. 202 (1975), 181 – 191. · Zbl 0275.30008
[3] James Miller, Convex meromorphic mappings and related functions, Proc. Amer. Math. Soc. 25 (1970), 220 – 228. · Zbl 0196.09202
[4] John A. Pfaltzgraff and Bernard Pinchuk, A variational method for classes of meromorphic functions, J. Analyse Math. 24 (1971), 101 – 150. · Zbl 0247.30012 · doi:10.1007/BF02790372
[5] W. C. Royster, Convex meromorphic functions, Mathematical Essays Dedicated to A. J. Macintyre, Ohio Univ. Press, Athens, Ohio, 1970, pp. 331 – 339. · Zbl 0211.09901
[6] T. Sheil-Small, On convex univalent functions, J. London Math. Soc. (2) 1 (1969), 483 – 492. · Zbl 0201.40802 · doi:10.1112/jlms/s2-1.1.483
[7] T. J. Suffridge, Some remarks on convex maps of the unit disk, Duke Math. J. 37 (1970), 775 – 777. · Zbl 0206.36202
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