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

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

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 &#945;(0&#8804;&#945;<1), using Toeplitz determinants.

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Autores principales: Krishna,D. Vamshee, Shalini,D.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2018
Materias:
Analytic function
pre-starlike function
convex function
upper bound
second and third Hankel functionals
positive real function
convolution
Toeplitz determinants
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200305
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spelling oai:scielo:S0716-091720180002003052018-05-29Bound on H3(1) Hankel determinant for pre-starlike functions of order &#945;Krishna,D. VamsheeShalini,D. Analytic function pre-starlike function convex function upper bound second and third Hankel functionals positive real function convolution Toeplitz determinants 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 &#945;(0&#8804;&#945;<1), using Toeplitz determinants.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.37 n.2 20182018-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200305en10.4067/S0716-09172018000200305
institution Scielo Chile
collection Scielo Chile
language English
topic Analytic function
pre-starlike function
convex function
upper bound
second and third Hankel functionals
positive real function
convolution
Toeplitz determinants
spellingShingle Analytic function
pre-starlike function
convex function
upper bound
second and third Hankel functionals
positive real function
convolution
Toeplitz determinants
Krishna,D. Vamshee
Shalini,D.
Bound on H3(1) Hankel determinant for pre-starlike functions of order &#945;
description 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 &#945;(0&#8804;&#945;<1), using Toeplitz determinants.
author Krishna,D. Vamshee
Shalini,D.
author_facet Krishna,D. Vamshee
Shalini,D.
author_sort Krishna,D. Vamshee
title Bound on H3(1) Hankel determinant for pre-starlike functions of order &#945;
title_short Bound on H3(1) Hankel determinant for pre-starlike functions of order &#945;
title_full Bound on H3(1) Hankel determinant for pre-starlike functions of order &#945;
title_fullStr Bound on H3(1) Hankel determinant for pre-starlike functions of order &#945;
title_full_unstemmed Bound on H3(1) Hankel determinant for pre-starlike functions of order &#945;
title_sort bound on h3(1) hankel determinant for pre-starlike functions of order &#945;
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2018
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000200305
work_keys_str_mv AT krishnadvamshee boundonh31hankeldeterminantforprestarlikefunctionsoforder945
AT shalinid boundonh31hankeldeterminantforprestarlikefunctionsoforder945
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