Abstract
Some effects in the α-convex theory of the univalent functions are discussed in the light of the uniqueness problem for the critical point of the conformal radius.
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S. S. Miller, P. T. Mocanu, and M. O. Reade, “All α-convex functions are univalent and starlike,” Proc. Am. Math. Soc. 37, 553–554 (1973).
S. S. Miller and P. T. Mocanu, “Univalent solutions of Briot-Bouquet differential equations,” J. Differ. Equat. 56, 297–309 (1985).
S. S. Miller and P. T. Mocanu, “On some classes of first-order differential subordinations,” Mich. Math. J. 32, 185–195 (1985).
Z. Jakubowski and J. Kaminski, “On some classes of alpha-convex functions,” Anal. Numer. Theor. Approx. 27, 13–26 (1985).
Z. Lewandowski, S. Miller, and E. Zlotkiewicz, “Generating functions for some classes of univalent functions,” Proc. Am. Math. Soc. 56, 111–117 (1976).
S. S. Miller and P. T. Mocanu, “Differential subordinations and univalent functions,” Mich. Math. J. 28, 157–171 (1981).
J. Szynal, “Some remarks on coefficients inequality for α-convex functions,” Bull. Acad. Polon. Sci., Ser. Math., Astron. Phys. 20, 917–919 (1972).
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(Submitted by A. M. Elizarov)
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Kazantsev, A.V. On Some “Collateral” Effects in the Alpha-convex Theory. Lobachevskii J Math 39, 1367–1369 (2018). https://doi.org/10.1134/S199508021809041X
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DOI: https://doi.org/10.1134/S199508021809041X