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.
@article{bwmeta1.element.doi-10_1515_umcsmath-2015-0007,
author = {Jagannath Patel and Ashok Kumar Sahoo},
title = {On certain subclasses of analytic functions associated with the Carlson--Shaffer operator},
journal = {Annales UMCS, Mathematica},
volume = {68},
year = {2015},
zbl = {1311.30003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_umcsmath-2015-0007}
}
Jagannath Patel; Ashok Kumar Sahoo. On certain subclasses of analytic functions associated with the Carlson–Shaffer operator. Annales UMCS, Mathematica, Tome 68 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_umcsmath-2015-0007/
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