Mathematics and Statistics Vol. 9(6), pp. 1011 - 1018
DOI: 10.13189/ms.2021.090617
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Properties of Sakaguchi Kind Functions Associated with Bessel Function

H.Priya ^*, B. Srutha Keerthi
Department of Mathematics, School of Advanced Sciences, VIT Chennai Campus, India

ABSTRACT

The aim of the paper is to obtain the First Hankel Determinant and the Second Hankel determinant. We shall make use of few lemmas which are based on Caratheodory's class of analytic functions. We establish a new Sakaguchi class of univalent function, further we estimate the sharp bound for initial coefficients and using the Bessel function expansion. We have discussed about the coefficient as well for the Second Hankel Determinant. The results are obtained for Sakaguchi kind. Our results travel along exploring the stages of Hankel Determinants. Various types of technologies like wire, optical or other electromagnetic systems are used for the transmission of data in one device to another. Filters play an important role in the process that can remove disorted signals. By using different parameter values for the function belongs to Sakaguchi kind of functions the Low pass filter and High pass filter can be designed and that can be done by the coefficient estimates.

KEYWORDS
Coefficient inequality, Subordination techniques, Two kinds of Bessel function, Second Hankel determinant

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] H.Priya , B. Srutha Keerthi , "Properties of Sakaguchi Kind Functions Associated with Bessel Function," Mathematics and Statistics, Vol. 9, No. 6, pp. 1011 - 1018, 2021. DOI: 10.13189/ms.2021.090617.

(b). APA Format:
H.Priya , B. Srutha Keerthi (2021). Properties of Sakaguchi Kind Functions Associated with Bessel Function. Mathematics and Statistics, 9(6), 1011 - 1018. DOI: 10.13189/ms.2021.090617.