The sharp bound of the third Hankel determinant of kth-root transformation for analytic functions

Author:

Rath BiswajitORCID,Sanjay Kumar K.,Vamshee Krishna D.,Surya Viswanadh G. K.

Publisher

Springer Science and Business Media LLC

Reference27 articles.

1. Ali, R.M., Lee, S.K., Ravichandran, V., Supramaniam, S.: The Fekete–Szeg$$\ddot{o}$$ coefficient functional for transforms of analytic functions. Bull. Iran. Math. Soc. 35(2), 119–142 (2009)

2. Babalola, K.O.: On $$H_3 (1)$$ Hankel determinant for some classes of univalent functions. In: Cho, Y.J. (ed.) Inequality Theory and Applications, vol. 6, pp. 1–7. Nova Science Publishers, New York (2010)

3. Banga, S., Sivaprasad Kumar, S.: The sharp bounds of the second and third Hankel determinants for the class $$SL^*$$. Math. Slovaca 70(4), 849–862 (2020)

4. Carathéodory, C.: Über den variabilitätsbereich der fourier’schen konstanten von positiven harmonischen funktionen. Rend. Circ. Matem. Palermo 32, 193–217 (1911). https://doi.org/10.1007/BF03014795

5. Cho, N.E., Analouei Adegani, E., Bulut, S., Motamednezhad, A.: The second Hankel determinant problem for a class of bi-close-to-convex functions. Mathematics 7, 986 (2019). https://doi.org/10.3390/math7100986

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