Meromorphic multivalent close-to-convex functions

Livingston, A. E.

doi:10.1090/S0002-9947-1965-0188422-1

Meromorphic multivalent close-to-convex functions

Author: A. E. Livingston
Journal: Trans. Amer. Math. Soc. 119 (1965), 167-177
MSC: Primary 30.44; Secondary 30.60
DOI: https://doi.org/10.1090/S0002-9947-1965-0188422-1
MathSciNet review: 0188422
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M. L. Cartwright, Some inequalities in the theory of functions, Math. Ann. 111 (1935), no. 1, 98–118. MR 1512983, DOI https://doi.org/10.1007/BF01472208

G. M. Golusin, On $p$-valent functions, Mat. Sb. (N. S.) 8 (1940), 277-284.

Akira Kobori, Zur Theorie der mehrwertigen Funktionen, Jpn. J. Math. 19 (1947), 301–319 (German). MR 27844
R. J. Libera and M. S. Robertson, Meromorphic close-to-convex functions, Michigan Math. J. 8 (1961), 165–175. MR 132167, DOI https://doi.org/10.1307/mmj/1028998568
A. E. Livingston, $p$-valent close-to-convex functions, Trans. Amer. Math. Soc. 115 (1965), 161–179. MR 199373, DOI https://doi.org/10.1090/S0002-9947-1965-0199373-0

---, $p$-valent close-to-convex functions, Thesis, Rutgers, The State University, New Brunswick, N.J., 1963.

Christian Pommerenke, Über einige Klassen meromorpher schlichter Funktionen, Math. Z. 78 (1962), 263–284 (German). MR 158058, DOI https://doi.org/10.1007/BF01195174
W. C. Royster, Meromorphic starlike multivalent functions, Trans. Amer. Math. soc. 107 (1963), 300–308. MR 0148895, DOI https://doi.org/10.1090/S0002-9947-1963-0148895-5