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An upper bound to the second Hankel determinant for pre-starlike functions of order α

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Author(s): Deekonda Vamshee Krishna; T. RamReddy
Source:
Le Matematiche, Vol 70, Iss 2, Pp 109-122 (2015)
Subject Terms:
Analytic function; pre-starlike function; starlike function; convex function; upper bound; second Hankel functional; positive real function; subordination; convolution; Toeplitz determinants; Mathematics; QA1-939
Document Type:
article
Language:
English
French
Italian
Online Access:
https://doaj.org/article/9e6847dd172c41abbab34bbc9fb89beb

Additional Information
- Publication Information:
  Università degli Studi di Catania, 2015.
- Publication Date:
  2015
- Collection:
  LCC:Mathematics
- Abstract:
  The objective of this paper is to obtain an upper bound to the second Hankel determinant for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 ≤ alpha ≤ 1), using Toeplitz determinants.
- File Description:
  electronic resource
- ISSN:
  0373-3505
  2037-5298
- Relation:
  http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1152; https://doaj.org/toc/0373-3505; https://doaj.org/toc/2037-5298
- Accession Number:
  edsdoj.9e6847dd172c41abbab34bbc9fb89beb

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