Certain properties for a class of analytic functions associated with hypergeometric functions

In this particular paper, we investigate coefficient inequalities, closure theorems, convolution properties for the functions belonging to the class \( \mathcal{S}^{m,r,s}_{\lambda_1,\lambda_2}(\eta)\). Further, integral transforms of functions in the same class are also discussed.

Bibliographic Details
Main Authors: Khadeejah R. Alhindi, Maslina Darus
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2014-08-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/1023
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author Khadeejah R. Alhindi
Maslina Darus
author_facet Khadeejah R. Alhindi
Maslina Darus
author_sort Khadeejah R. Alhindi
collection DOAJ
description In this particular paper, we investigate coefficient inequalities, closure theorems, convolution properties for the functions belonging to the class \( \mathcal{S}^{m,r,s}_{\lambda_1,\lambda_2}(\eta)\). Further, integral transforms of functions in the same class are also discussed.
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spelling doaj.art-a354e8e5ba674da2975572c7fb6427ef2022-12-22T00:41:41ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2014-08-01432Certain properties for a class of analytic functions associated with hypergeometric functionsKhadeejah R. Alhindi0Maslina Darus1Universiti Kebangsaan MalaysiaUniversiti Kebangsaan MalaysiaIn this particular paper, we investigate coefficient inequalities, closure theorems, convolution properties for the functions belonging to the class \( \mathcal{S}^{m,r,s}_{\lambda_1,\lambda_2}(\eta)\). Further, integral transforms of functions in the same class are also discussed.https://www.ictp.acad.ro/jnaat/journal/article/view/1023analytic functioncoefficient inequalitiesSchwarz inequalityclosure theoremsHadamard productconvolution properties
spellingShingle Khadeejah R. Alhindi
Maslina Darus
Certain properties for a class of analytic functions associated with hypergeometric functions
Journal of Numerical Analysis and Approximation Theory
analytic function
coefficient inequalities
Schwarz inequality
closure theorems
Hadamard product
convolution properties
title Certain properties for a class of analytic functions associated with hypergeometric functions
title_full Certain properties for a class of analytic functions associated with hypergeometric functions
title_fullStr Certain properties for a class of analytic functions associated with hypergeometric functions
title_full_unstemmed Certain properties for a class of analytic functions associated with hypergeometric functions
title_short Certain properties for a class of analytic functions associated with hypergeometric functions
title_sort certain properties for a class of analytic functions associated with hypergeometric functions
topic analytic function
coefficient inequalities
Schwarz inequality
closure theorems
Hadamard product
convolution properties
url https://www.ictp.acad.ro/jnaat/journal/article/view/1023
work_keys_str_mv AT khadeejahralhindi certainpropertiesforaclassofanalyticfunctionsassociatedwithhypergeometricfunctions
AT maslinadarus certainpropertiesforaclassofanalyticfunctionsassociatedwithhypergeometricfunctions