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Upper Bound of Second Hankel Determinant for Certain Subclasses of Analytic Functions

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  • Ming-Sheng Liu
  • Jun-Feng Xu
  • Ming Yang

Abstract

In this present investigation, we first give a survey of the work done so far in this area of Hankel determinant for univalent functions. Then the upper bounds of the second Hankel determinant for functions belonging to the subclasses , , , and of analytic functions are studied. Some of the results, presented in this paper, would extend the corresponding results of earlier authors.

Suggested Citation

  • Ming-Sheng Liu & Jun-Feng Xu & Ming Yang, 2014. "Upper Bound of Second Hankel Determinant for Certain Subclasses of Analytic Functions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
  • Handle: RePEc:hin:jnlaaa:603180
    DOI: 10.1155/2014/603180
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    Cited by:

    1. Lei Shi & Izaz Ali & Muhammad Arif & Nak Eun Cho & Shehzad Hussain & Hassan Khan, 2019. "A Study of Third Hankel Determinant Problem for Certain Subfamilies of Analytic Functions Involving Cardioid Domain," Mathematics, MDPI, vol. 7(5), pages 1-15, May.

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