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Univalent solutions of Briot-Bouquet differential equations. (English) Zbl 0507.34009

34M99Differential equations in the complex domain
Full Text: DOI
[1] Bajpai, S. K.: An analogue of R. J. libera’s result. Rend. mat. (7) 12, 285-289 (1979) · Zbl 0445.30007
[2] Eenigenburg, P.; Miller, S.; Mocanu, P.; Reade, M.: On a briot-bouquet differential subordination, general inequalities 3. International series of numerical mathematics 64, 339-348 (1983)
[3] Hille, E.: Ordinary differential equations in the complex plane. (1976) · Zbl 0343.34007
[4] Jakubowski, Z.; Kaminski, J.: On some properties of mocanu-janowski functions. Rev. roumaine math. Pures appl. 10, 1523-1532 (1978) · Zbl 0402.30011
[5] Lewandowski, Z.; Miller, S.; Zlotkiewicz, E.: Generating functions for some classes of univalent functions. Proc. amer. Math. soc. 56, 111-117 (1976) · Zbl 0298.30008
[6] Macgregor, T. H.: A subordination for convex functions of order a. J. London math. Soc. (2) 9, 530-536 (1975) · Zbl 0331.30011
[7] Marx, A.: Unteruchungen über schlicte abbildungen. Math. ann. 107, 40-67 (1932/1933) · Zbl 58.0363.01
[8] Miller, S. S.; Mocanu, P. T.: Second order differential inequalities in the complex plane. J. math. Anal. appl. 65, 289-305 (1978) · Zbl 0367.34005
[9] Pommerenke, Ch: Univalent functions. (1975)
[10] Ruscheweyh, S.; Singh, V.: On a briot-bouquet equation related to univalent functions. Rev. roumaine math. Pures appl. 24, 285-290 (1979) · Zbl 0401.30011
[11] Strohhäcker, E.: Beiträge zur theorie der schlicten funktionen. Math. Z. 37, 356-380 (1933) · Zbl 59.0353.02