Hankel determinant for a class of analytic functions of complex order defined by convolution

S. M. El-Deeb; M. K. Aouf

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2015)

  • Volume: 69, Issue: 2
  • ISSN: 0365-1029

Abstract

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In this paper, we obtain the Fekete-Szego inequalities for the functions of complex order defined by convolution. Also, we find upper bounds for the second Hankel determinant | a 2 a 4 - a 3 2 | for functions belonging to the class S γ b ( g ( z ) ; A , B ) .

How to cite

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S. M. El-Deeb, and M. K. Aouf. "Hankel determinant for a class of analytic functions of complex order defined by convolution." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 69.2 (2015): null. <http://eudml.org/doc/289817>.

@article{S2015,
abstract = {In this paper, we obtain the Fekete-Szego inequalities for the functions of complex order defined by convolution. Also, we find upper bounds for the second Hankel determinant $|a_2a_4-a_3^2|$ for functions belonging to the class $S_\{\gamma \}^b(g(z);A,B)$.},
author = {S. M. El-Deeb, M. K. Aouf},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Fekete-Szego inequality; second Hankel determinant; convolution; complex order.},
language = {eng},
number = {2},
pages = {null},
title = {Hankel determinant for a class of analytic functions of complex order defined by convolution},
url = {http://eudml.org/doc/289817},
volume = {69},
year = {2015},
}

TY - JOUR
AU - S. M. El-Deeb
AU - M. K. Aouf
TI - Hankel determinant for a class of analytic functions of complex order defined by convolution
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2015
VL - 69
IS - 2
SP - null
AB - In this paper, we obtain the Fekete-Szego inequalities for the functions of complex order defined by convolution. Also, we find upper bounds for the second Hankel determinant $|a_2a_4-a_3^2|$ for functions belonging to the class $S_{\gamma }^b(g(z);A,B)$.
LA - eng
KW - Fekete-Szego inequality; second Hankel determinant; convolution; complex order.
UR - http://eudml.org/doc/289817
ER -

References

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