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Coefficient bounds for convex functions associated with cosine function
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Abstract
In this paper, we study the class ????
cos of normalized analytic functions f satisfying 1 + z f''(z) / f'(z) ≺ cos(z). We obtain the sharp coefficient bounds and Hankel determinants of second and third order for functions for ????
cos. We also present the similar results for inverse and logarithm coefficients. These results improve the results recently obtained in [Marimuthu et al.: Coefficient estimates for starlike and convex functions associated with cosine function, Hacet. J. Math. Stat. 52 (2023), 596–618. Furthermore, our results provide examples of invariance of the coefficient bounds among the subclass of convex functions.
Title: Coefficient bounds for convex functions associated with cosine function
Description:
Abstract
In this paper, we study the class ????
cos of normalized analytic functions f satisfying 1 + z f''(z) / f'(z) ≺ cos(z).
We obtain the sharp coefficient bounds and Hankel determinants of second and third order for functions for ????
cos.
We also present the similar results for inverse and logarithm coefficients.
These results improve the results recently obtained in [Marimuthu et al.
: Coefficient estimates for starlike and convex functions associated with cosine function, Hacet.
J.
Math.
Stat.
52 (2023), 596–618.
Furthermore, our results provide examples of invariance of the coefficient bounds among the subclass of convex functions.
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