Some application of Grunsky coefficients in the theory of univalent functions

Milutin Obradović; Nikola Tuneski

doi:10.2478/aupcsm-2025-0005

References

Cho, N. E., et al. “On the third logarithmic coefficient in some subclasses of close-to-convex functions.” Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114 (2020): Article Id. 52. Cited on 24.
Search in Google Scholar Back to article
De Branges, Louis. “A proof of the Bieberbach conjecture.” Acta Math. 154, no. 1-2 (1985): 137-152. Cited on 23.
Search in Google Scholar Back to article
Duren, P. L. Univalent Functions. New York: Springer-Verlag, 1983. Cited on 24 and 25.
Search in Google Scholar Back to article
Hayman, W. K. “On the second Hankel determinant of mean univalent functions.” Proc. London Math. Soc. Series 3, 18 (1968): 77-94. Cited on 25.
Search in Google Scholar Back to article
Janteng, A., S. A. Halim, and M. Darus. “Coefficient inequality for a function whose derivative has a positive real part.” J. Inequal. Pure Appl. Math. 7, no. 2 (2006): Article Id. 50. Cited on 25.
Search in Google Scholar Back to article
Janteng, A., S. A. Halim, and M. Darus. “Hankel determinant for starlike and convex functions.” Int. J. Math. Anal. (Ruse) 1, no. 13-16 (2007): 619-625. Cited on 25.
Search in Google Scholar Back to article
Kowalczyk, B., and A. Lecko. “Second Hankel determinant of logarithmic coefficients of convex and starlike functions.” Bull. Aust. Math. Soc. 105, no. 3 (2022): 458-467. Cited on 25.
Search in Google Scholar Back to article
Kowalczyk, B., and A. Lecko. “The second Hankel determinant of the logarithmic coefficients of strongly starlike and strongly convex functions.” Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 117 (2023): art no. 91. Cited on 25.
Search in Google Scholar Back to article
Lebedev, N. A. Area Principle in the Theory of Univalent Functions. Moscow: Nauka (in Russian), 1975. Cited on 25.
Search in Google Scholar Back to article
Obradović, M., and N. Tuneski. “The third logarithmic coefficient for the class S.” Turkish Journal of Mathematics 44 (2020): 1950-1954. Cited on 24.
Search in Google Scholar Back to article
Obradović, M., and N. Tuneski. “Zalcman and generalized Zalcman conjecture for a subclass of univalent functions.” Novi Sad J. Math. 52, no. 1 (2022): 185-190. Cited on 24.
Search in Google Scholar Back to article
Ravichandran, V., and S. Verma. “Generalized Zalcman conjecture for some classes of analytic functions.” J. Math. Anal. Appl. 450, no. 1 (2017): 592-605. Cited on 24.
Search in Google Scholar Back to article
Thomas, D. K., N. Tuneski, and A. Vasudevarao. Univalent Functions: A Primer. De Gruyter Studies in Mathematics 69. Berlin,Boston: De Gruyter, 2018. Cited on 25 and 26.
Search in Google Scholar Back to article

Some application of Grunsky coefficients in the theory of univalent functions

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