Geodesic
Weakly Close-to-Convex Meromorphic Functions
Canadian journal of mathematics, Tome 41 (1989) no. 4, pp. 612-625

Voir la notice de l'article provenant de la source Cambridge University Press

Classes of functions, meromorphic and univalent in Δ = {z:|z|< 1}with simple pole at z = p, 0 < p < 1, have been discussed in several places in the literature ([3], [6], [8], [10], [11], and [12]). The purpose of this paper is to discuss a class of Close-to-Convex functions with pole at p analogous to the class of Close-to-Convex functions with pole at zero studied by Libera and Robertson [9]. 
Landau-Treisner, Laurellen; Livingston, Albert E. Weakly Close-to-Convex Meromorphic Functions. Canadian journal of mathematics, Tome 41 (1989) no. 4, pp. 612-625. doi: 10.4153/CJM-1989-027-7
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[1] 1. Baernstein, A., Integral means, univalent functions and circular symmetrization, Acta Math. 133 (1974), 139–169. Google Scholar

[2] 2. deBranges, L., A proof of the Bieberbach conjecture, Acta. Math. 154 (1985), 137–152. Google Scholar

[3] 3. Eenigenberg, P. J. and Livingston, A. E., Meromorphic starlike functions, Rocky Mountain J. 11 (1981), 441–457. Google Scholar

[4] 4. Hardy, G. H., Littlewood, J. E. and Polya, G., Inequalities (Cambridge Univ. Press, New York, 1959). Google Scholar

[5] 5. Jenkins, J. A., On a conjecture of Goodman concerning meromorphic univalent functions, Michigan Math. J. 9 (1962), 25–27. Google Scholar

[6] 6. Kirwan, W. E. and Schober, G., Extremal problems for meromorphic univalent functions, J. D'Analyse Math. 30 (1976), 330–348. Google Scholar

[7] 7. Leung, Y. J., Integral means of the derivatives of some univalent functions, Bull. London Math. Soc. 11 (1979), 289–294. Google Scholar

[8] 8. Libera, R. J. and Livingston, A. E., Weakly starlike meromorphic univalent functions, Trans. Amer. Math. Soc. 202 (1975), 181–191. Google Scholar

[9] 9. Libera, R. J. and Robertson, M. S., Meromorphic close-to-convex functions, Michigan Math. J. 8(1961), 167–175. Google Scholar

[10] 10. Livingston, A. E., Weakly starlike meromorphic univalent functions II, Proc. Amer. Math. Soc. 62 (1977), 47–53. Google Scholar

[11] 11. Livingston, A. E., A class of meromorphic starlike functions, Rocky Mountain J. 13, (1983), 259–269. Google Scholar

[12] 12. Miller, J., Convex and starlike meromorphic functions, Proc. Amer. Math. Soc. 80 (1980), 607- 613. Google Scholar

[13] 13. Pommerenke, Ch., On the coefficients of close-to-convex functions, Michigan Math. J. 9 (1962), 259–269. Google Scholar

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