Bound on H3(1) Hankel determinant for pre-starlike functions of order α.

Authors

Keywords:

Analytic function, Toeplitz determinants, Pre-starlike function, Convex function, Upper bound, Second and third Hankel functionals, Positive real function, Convolution

Abstract

The objective of this paper is to obtain best possible upper bound to the third Hankel determinant for the pre-starlike functions of order α (0 ≤ α ≤ 1), using Toeplitz determinants.

Author Biographies

D. Vamshee Krishna, GITAM University.

Department of Mathematics.

D. Shalini, Sri Venkateswara College of Engineering and Technology.

Department of Mathematics.

References

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Published

2018-06-06

How to Cite

[1]
D. V. Krishna and D. Shalini, “Bound on H3(1) Hankel determinant for pre-starlike functions of order α.”, Proyecciones (Antofagasta, On line), vol. 37, no. 2, pp. 305-315, Jun. 2018.

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Artículos