On certain subclasses of analytic functions associated with the Carlson–Shaffer operator

Jagannath Patel; Ashok Kumar Sahoo

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2014)

  • Volume: 68, Issue: 2
  • ISSN: 0365-1029

Abstract

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The object of the present paper is to solve Fekete-Szego problem and determine the sharp upper bound to the second Hankel determinant for a certain class R λ ( a , c , A , B ) of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass R ˜ λ ( a , c , A , B ) of R λ ( a , c , A , B ) and related function classes. Relevant connections of the main results obtained here with those given by earlier workers on the subject are pointed out.

How to cite

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Jagannath Patel, and Ashok Kumar Sahoo. "On certain subclasses of analytic functions associated with the Carlson–Shaffer operator." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 68.2 (2014): null. <http://eudml.org/doc/289829>.

@article{JagannathPatel2014,
abstract = {The object of the present paper is to solve Fekete-Szego problem and determine the sharp upper bound to the second Hankel determinant for a certain class $R^\{\lambda \}(a,c,A,B)$ of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass $\widetilde\{R\}^\{\lambda \}(a,c, A,B)$ of $R^\{\lambda \}(a,c,A,B)$ and related function classes. Relevant connections of the main results obtained here with those given by earlier workers on the subject are pointed out.},
author = {Jagannath Patel, Ashok Kumar Sahoo},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {},
language = {eng},
number = {2},
pages = {null},
title = {On certain subclasses of analytic functions associated with the Carlson–Shaffer operator},
url = {http://eudml.org/doc/289829},
volume = {68},
year = {2014},
}

TY - JOUR
AU - Jagannath Patel
AU - Ashok Kumar Sahoo
TI - On certain subclasses of analytic functions associated with the Carlson–Shaffer operator
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2014
VL - 68
IS - 2
SP - null
AB - The object of the present paper is to solve Fekete-Szego problem and determine the sharp upper bound to the second Hankel determinant for a certain class $R^{\lambda }(a,c,A,B)$ of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass $\widetilde{R}^{\lambda }(a,c, A,B)$ of $R^{\lambda }(a,c,A,B)$ and related function classes. Relevant connections of the main results obtained here with those given by earlier workers on the subject are pointed out.
LA - eng
KW -
UR - http://eudml.org/doc/289829
ER -

References

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