On the functional \(f( z_{1})/f^\prime( z_{2})\), for typically-real functions
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Mocanu, P. T., Problem I, Annales Polon, Math., 20, 316, 1968.
Mocanu, Petru T., An extremal problem for univalent functions associated with the Darboux formula. (Polish, Russian summary) Proceedings of the Fifth Conference on Analytic Functions (Univ. Mariae Curie-Skłodowska, Lublin, 1970). Ann. Univ. Mariae Curie-Sklodowska Sect. A 22-24 (1968/70), 131-135 (1972), MR0340583.
Pilat, B., On typically real functions with Montel's normalization. Ann. Univ. Mariae Curie-Sklodowska Sect. A 18 1964 53-72 (1967), MR0231991.
Robertson, M. S., On the coefficients of a typically-real function. Bull. Amer. Math. Soc. 41 (1935), no. 8, 565-572, MR1563142, https://doi.org/10.1090/s0002-9904-1935-06147-6
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