Article
Upper Bound of the Second Order Hankel Determinant for a Class of Functions with Positive Real Part
Authors
Abstract
In this paper, we find estimates on the upper bound of the Hankel determinant for a general class $\Sigma_n(\phi)$ of functions defined by the known Sălăgean derivative operator as well as the $\phi(z)$, where $\phi(z)$ are positive real part functions and symmetric with respect to the real axis. Several useful consequences are obtained as special cases.
Keywords
Univalent functions, subordination, Hankel determinant, Sălăgean derivative operator
Citation
Xiong, L. (2016). Upper bound of the second order hankel determinant for a class of functions with positive real part. Journal of Analysis & Number Theory, 4(1), 35–39. https://doi.org/10.18576/jant/040106
L. Xiong, “Upper bound of the second order hankel determinant for a class of functions with positive real part,” Journal of Analysis & Number Theory, vol. 4, no. 1, pp. 35–39, 2016, doi: 10.18576/jant/040106.
Xiong L. Upper bound of the second order hankel determinant for a class of functions with positive real part. Journal of Analysis & Number Theory. 2016;4(1):35–39. doi:10.18576/jant/040106.
Xiong, L. (2016), ‘Upper bound of the second order hankel determinant for a class of functions with positive real part’, Journal of Analysis & Number Theory, 4(1), pp. 35–39. Available at: https://doi.org/10.18576/jant/040106.
Xiong, Liangpeng. “Upper Bound of the Second Order Hankel Determinant for a Class of Functions with Positive Real Part.” Journal of Analysis & Number Theory, vol. 4, no. 1, 2016, pp. 35–39. https://doi.org/10.18576/jant/040106.
Xiong, Liangpeng. “Upper Bound of the Second Order Hankel Determinant for a Class of Functions with Positive Real Part.” Journal of Analysis & Number Theory 4, no. 1 (2016): 35–39. https://doi.org/10.18576/jant/040106.
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Published by: Engineering Journals
