On differential subordinations for a class of analytic functions defined by a linear operator

On differential subordinations for a class of analytic functions defined by a linear operator

We obtain several results concerning the differential subordination between analytic functions and a linear operator defined for a certain family of analytic functions which are introduced here by means of these linear operators. Also, some special cases are considered.

Bibliographic Details
Main Authors: V. Ravichandran, Herb Silverman, S. Sivaprasad Kumar, K. G. Subramanian
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204309208
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spelling doaj-27c8bdb7b91343758cde8247cd00c32e2020-11-24T21:33:00ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004422219223010.1155/S0161171204309208On differential subordinations for a class of analytic functions defined by a linear operatorV. Ravichandran0Herb Silverman1S. Sivaprasad Kumar2K. G. Subramanian3Department of Computer Applications, Sri Venkateswara College of Engineering, Pennalur, Sriperumbudur, Tamil Nadu 602 105, IndiaDepartment of Mathematics, College of Charleston, Charleston, SC 29424, USADepartment of Mathematics, Sindhi College, 123 P.H. Road, Numbal, Chennai, Tamil Nadu 600 077, IndiaDepartment of Mathematics, Madras Christian College, Tambaram, Chennai, Tamil Nadu 600 059, IndiaWe obtain several results concerning the differential subordination between analytic functions and a linear operator defined for a certain family of analytic functions which are introduced here by means of these linear operators. Also, some special cases are considered.http://dx.doi.org/10.1155/S0161171204309208
collection DOAJ
language English
format Article
sources DOAJ
author V. Ravichandran
Herb Silverman
S. Sivaprasad Kumar
K. G. Subramanian
spellingShingle V. Ravichandran
Herb Silverman
S. Sivaprasad Kumar
K. G. Subramanian
On differential subordinations for a class of analytic functions defined by a linear operator
International Journal of Mathematics and Mathematical Sciences
author_facet V. Ravichandran
Herb Silverman
S. Sivaprasad Kumar
K. G. Subramanian
author_sort V. Ravichandran
title On differential subordinations for a class of analytic functions defined by a linear operator
title_short On differential subordinations for a class of analytic functions defined by a linear operator
title_full On differential subordinations for a class of analytic functions defined by a linear operator
title_fullStr On differential subordinations for a class of analytic functions defined by a linear operator
title_full_unstemmed On differential subordinations for a class of analytic functions defined by a linear operator
title_sort on differential subordinations for a class of analytic functions defined by a linear operator
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2004-01-01
description We obtain several results concerning the differential subordination between analytic functions and a linear operator defined for a certain family of analytic functions which are introduced here by means of these linear operators. Also, some special cases are considered.
url http://dx.doi.org/10.1155/S0161171204309208
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AT ssivaprasadkumar ondifferentialsubordinationsforaclassofanalyticfunctionsdefinedbyalinearoperator
AT kgsubramanian ondifferentialsubordinationsforaclassofanalyticfunctionsdefinedbyalinearoperator
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