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

Jagannath Patel; Ashok Kumar Sahoo

Annales UMCS, Mathematica (2015)

  • Volume: 68, Issue: 2, page 65-83
  • ISSN: 2083-7402

Abstract

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The object of the present paper is to solve Fekete-Szegö problem and determine the sharp tipper bound to the second Hankel determinant for a certain class ℛλ(a, c, A, B) of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass ℛλ(a, c, A, B) of ℛλ(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 UMCS, Mathematica 68.2 (2015): 65-83. <http://eudml.org/doc/269974>.

@article{JagannathPatel2015,
abstract = {The object of the present paper is to solve Fekete-Szegö problem and determine the sharp tipper bound to the second Hankel determinant for a certain class ℛλ(a, c, A, B) of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass ℛλ(a, c, A, B) of ℛλ(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 UMCS, Mathematica},
keywords = {Analytic function; subordination; Hadamard product; majorization; Fekete-Szegö problem; Hankel determinant; starlike functions; convex functions; Fekete-Szegő problem},
language = {eng},
number = {2},
pages = {65-83},
title = {On certain subclasses of analytic functions associated with the Carlson–Shaffer operator},
url = {http://eudml.org/doc/269974},
volume = {68},
year = {2015},
}

TY - JOUR
AU - Jagannath Patel
AU - Ashok Kumar Sahoo
TI - On certain subclasses of analytic functions associated with the Carlson–Shaffer operator
JO - Annales UMCS, Mathematica
PY - 2015
VL - 68
IS - 2
SP - 65
EP - 83
AB - The object of the present paper is to solve Fekete-Szegö problem and determine the sharp tipper bound to the second Hankel determinant for a certain class ℛλ(a, c, A, B) of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass ℛλ(a, c, A, B) of ℛλ(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 - Analytic function; subordination; Hadamard product; majorization; Fekete-Szegö problem; Hankel determinant; starlike functions; convex functions; Fekete-Szegő problem
UR - http://eudml.org/doc/269974
ER -

References

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