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On the univalence of a certain integral. (English) Zbl 0221.30012


MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
Full Text: DOI

References:

[1] W. M. Causey, The close-to-convexity and univalence of an integral, Math. Z. 99 (1967), 207 – 212. · Zbl 0165.09501 · doi:10.1007/BF01112451
[2] Wilfred Kaplan, Close-to-convex schlicht functions, Michigan Math. J. 1 (1952), 169 – 185 (1953). · Zbl 0048.31101
[3] A. Marx, Untersuchungen über schlichte Abbildungen, Math. Ann. 107 (1932), 40-67. · JFM 58.0363.01
[4] Mamoru Nunokawa, On the univalence of a certain integral, Trans. Amer. Math. Soc. 146 (1969), 439 – 446. · Zbl 0191.08802
[5] W. C. Royster, On the univalence of a certain integral, Michigan Math. J. 12 (1965), 385 – 387. · Zbl 0193.37301
[6] Kōichi Sakaguchi, On a certain univalent mapping, J. Math. Soc. Japan 11 (1959), 72 – 75. · Zbl 0085.29602 · doi:10.2969/jmsj/01110072
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