On Certain Sufficient Condition Involving Gaussian Hypergeometric Functions

The authors define a new subclass of 𝒜 of functions involving complex order in the open unit disk 𝕌. For this new class, we obtain certain inclusion properties involving the Gaussian hypergeometric functions.

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Main Authors: H. Silverman, Thomas Rosy, S. Kavitha
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/989603
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author H. Silverman
Thomas Rosy
S. Kavitha
author_facet H. Silverman
Thomas Rosy
S. Kavitha
author_sort H. Silverman
collection DOAJ
description The authors define a new subclass of 𝒜 of functions involving complex order in the open unit disk 𝕌. For this new class, we obtain certain inclusion properties involving the Gaussian hypergeometric functions.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2009-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-d811936db0d941c29564d443457939792025-02-03T06:11:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/989603989603On Certain Sufficient Condition Involving Gaussian Hypergeometric FunctionsH. Silverman0Thomas Rosy1S. Kavitha2Department of Mathematics, College of Charleston, Charleston, SC 29424, USADepartment of Mathematics, Madras Christian College, East Tambaram, Chennai 600 059, IndiaDepartment of Mathematics, Madras Christian College, East Tambaram, Chennai 600 059, IndiaThe authors define a new subclass of 𝒜 of functions involving complex order in the open unit disk 𝕌. For this new class, we obtain certain inclusion properties involving the Gaussian hypergeometric functions.http://dx.doi.org/10.1155/2009/989603
spellingShingle H. Silverman
Thomas Rosy
S. Kavitha
On Certain Sufficient Condition Involving Gaussian Hypergeometric Functions
International Journal of Mathematics and Mathematical Sciences
title On Certain Sufficient Condition Involving Gaussian Hypergeometric Functions
title_full On Certain Sufficient Condition Involving Gaussian Hypergeometric Functions
title_fullStr On Certain Sufficient Condition Involving Gaussian Hypergeometric Functions
title_full_unstemmed On Certain Sufficient Condition Involving Gaussian Hypergeometric Functions
title_short On Certain Sufficient Condition Involving Gaussian Hypergeometric Functions
title_sort on certain sufficient condition involving gaussian hypergeometric functions
url http://dx.doi.org/10.1155/2009/989603
work_keys_str_mv AT hsilverman oncertainsufficientconditioninvolvinggaussianhypergeometricfunctions
AT thomasrosy oncertainsufficientconditioninvolvinggaussianhypergeometricfunctions
AT skavitha oncertainsufficientconditioninvolvinggaussianhypergeometricfunctions