References
- N. E. Cho, B. Kowalczyk, O. S. Kwon, A. Lecko, and Y. J. Sim, Some coefficient inequalities related to the Hankel determinant for strongly starlike functions of order alpha, J. Math. Inequal. 11 (2017), no. 2, 429-439. https://doi.org/10.7153/jmi-11-36
- N. E. Cho, B. Kowalczyk, O. S. Kwon, A. Lecko, and Y. J. Sim, The bounds of some determinants for starlike functions of order alpha, Bull. Malays. Math. Sci. Soc. 41 (2018), no. 1, 523-535. https://doi.org/10.1007/s40840-017-0476-x
- W. K. Hayman, On the second Hankel determinant of mean univalent functions, Proc. London Math. Soc. (3) 18 (1968), 77-94. https://doi.org/10.1112/plms/s3-18.1.77
- A. Janteng, S. Abdul Halim, and M. Darus, Coefficient inequality for a function whose derivative has a positive real part, JIPAM. J. Inequal. Pure Appl. Math. 7 (2006), no. 2, Article 50, 5 pp.
- A. Janteng, S. Abdul Halim, and M. Darus, Hankel determinant for starlike and convex functions, Int. J. Math. Anal. (Ruse) 1 (2007), no. 13-16, 619-625.
- B. Kowalczyk, A. Lecko, and Y. J. Sim, The sharp bound for the Hankel determinant of the third kind for convex functions, Bull. Aust. Math. Soc. 97 (2018), no. 3, 435-445. https://doi.org/10.1017/S0004972717001125
- S. Krushkal, A short geometric proof of the zalcman and bieberbach conjectures, arXiv:1109.4646
- O. S. Kwon, A. Lecko, and Y. J. Sim, The bound of the Hankel determinant of the third kind for starlike functions, Bull. Malays. Math. Sci. Soc. 42 (2019), no. 2, 767-780. https://doi.org/10.1007/s40840-018-0683-0
- A. Lecko, Y. J. Sim, and B. Smiarowska, ' The sharp bound of the Hankel determinant of the third kind for starlike functions of order 1/2, Complex Anal. Oper. Theory 13 (2019), no. 5, 2231-2238. https://doi.org/10.1007/s11785-018-0819-0
- S. K. Lee, V. Ravichandran, and S. Supramaniam, Bounds for the second Hankel determinant of certain univalent functions, J. Inequal. Appl. 2013 (2013), 281, 17 pp. https://doi.org/10.1186/1029-242X-2013-281
- W. C. Ma, Generalized Zalcman conjecture for starlike and typically real functions, J. Math. Anal. Appl. 234 (1999), no. 1, 328-339. https://doi.org/10.1006/jmaa.1999.6378
- M. Obradovic and S. Ponnusamy, Coefficient characterization for certain classes of univalent functions, Bull. Belg. Math. Soc. Simon Stevin 16 (2009), no. 2, 251-263. http://projecteuclid.org/euclid.bbms/1244038137
- M. Obradovi'c, S. Ponnusamy, and P. Vasundhra, Univalence, strong starlikeness and integral transforms, Ann. Polon. Math. 86 (2005), no. 1, 1-13. https://doi.org/10.4064/ap86-1-1
- M. Obradovic, S. Ponnusamy, and K.-J. Wirths, Geometric studies on the class 𝓤(λ), Bull. Malays. Math. Sci. Soc. 39 (2016), no. 3, 1259-1284. https://doi.org/10.1007/s40840-015-0263-5
- M. Obradovi'c and N. Tuneski, Some properties of the class 𝓤, Ann. Univ. Mariae CurieSk lodowska Sect. A 73 (2019), no. 1, 49-56.
- M. Obradovi'c and N. Tuneski, A class of univalent functions with real coefficients, Bull. Malays. Math. Sci. Soc. 43 (2020), no. 3, 2875-2886. https://doi.org/10.1007/s40840-019-00842-5
- M. Obradovic and N. Tuneski, Zalcman and generalized Zalcman conjecture for the class 𝓤, Novi Sad J. Math. 52 (2022), no. 1, 173-184.
- M. Obradovic and N. Tuneski, Coefficients of the inverse of functions for the subclass of the class 𝓤(λ), J. Anal. 30 (2022), no. 1, 399-404. https://doi.org/10.1007/s41478-021-00326-5
- D. K. Thomas, N. Tuneski, and A. Vasudevarao, Univalent functions, De Gruyter Studies in Mathematics, 69, De Gruyter, Berlin, 2018. https://doi.org/10.1515/9783110560961
- A. Vasudevarao and H. Yanagihara, On the growth of analytic functions in the class 𝓤(λ), Comput. Methods Funct. Theory 13 (2013), no. 4, 613-634. https://doi.org/10.1007/s40315-013-0045-8
- P. Zaprawa, Third Hankel determinants for subclasses of univalent functions, Mediterr. J. Math. 14 (2017), no. 1, Paper No. 19, 10 pp. https://doi.org/10.1007/s00009-016-0829-y