On Third Hankel Determinant for a Subclass of Analytic Functions
[1]
Gagandeep Singh, Department of Mathematics, M. S. K. Girls College, Bharowal (Tarn-Taran), Punjab, India.
[2]
Gurcharanjit Singh, Department of Mathematics, Guru Nanak Dev University College, Chungh (Tarn-Taran), Punjab, India.
Let
denote the class of functions analytic in the unit disc
and satisfying the condition
. This paper is concerned with sharp upper bound of third Hankel determinant
for the functions belonging to
. By giving particular values to
, we can easily obtain the results for different classes of functions.
Analytic Functions, Univalent Functions, Coefficient Bounds, Third Hankel Determinant
[1]
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[10]
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[13]
Gagandeep Singh, Hankel determinant for a new subclass of analytic functions, Scientia Magna, 8(4) (2012), 61-65.
[14]
Gagandeep Singh, Hankel determinant for new subclasses of analytic functions with respect to symmetric points, Int. J. of Modern Math. Sci., 5(2) (2013), 67-76.
![](https://www.facebook.com/dialog/feed?app_id=234362743428066&link=http://www.openscienceonline.com/journal/archive2?journalId=722&paperId=2353&redirect_uri=http://www.openscienceonline.com/journal/archive2?journalId=722&paperId=2353&display=popup&name=On Third Hankel Determinant for a Subclass of Analytic Functions&description=Let <img src=" http://article.openscienceonline.com/journal/722/7220186/images0001.jpg" style="border:0;"/> denote the class of functions analytic in the unit disc <img src=" http://article.openscienceonline.com/journal/722/7220186/images0002.jpg" style="border:0;"/> and satisfying the condition <img src=" http://article.openscienceonline.com/journal/722/7220186/images0003.jpg" style="border:0;"/>. This paper is concerned with sharp upper bound of third Hankel determinant <img src=" http://article.openscienceonline.com/journal/722/7220186/images0004.jpg" style="border:0;"/> for the functions belonging to <img src=" http://article.openscienceonline.com/journal/722/7220186/images0001.jpg" style="border:0;"/>. By giving particular values to <img src=" http://article.openscienceonline.com/journal/722/7220186/images0005.jpg" style="border:0;"/>, we can easily obtain the results for different classes of functions.)
