A Note on Meromorphic Functions Associated With Beseel Function Defined by Hilbert Sapce Operator

A Note on Meromorphic Functions Associated With Beseel Function Defined by Hilbert Sapce Operator

In this paper,we introduce and study a new subclass of meromorphic functions associated with a certain differential operator on Hilbert space. For this class, we obtain several properties like the coefficient inequality, growth and distortion theorem, radius of close-to-convexity, starlikeness and m...

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Main Authors: Venkateswarlu B., Reddy P. Thirupathi, Shilpa R. Madhuri, Swapna G.
Format: Article
Language:English
Published: De Gruyter 2021-06-01
Series:Concrete Operators
Subjects:
meromorphic functions
bessel functions
coefficient estimates
hadamard product
hilbert space operators
30c45
30c50
Online Access:https://doi.org/10.1515/conop-2020-0114
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spelling doaj-a3402b349a994686aab349deebe4d28f2021-09-22T06:13:05ZengDe GruyterConcrete Operators2299-32822021-06-0181667610.1515/conop-2020-0114A Note on Meromorphic Functions Associated With Beseel Function Defined by Hilbert Sapce OperatorVenkateswarlu B.0Reddy P. Thirupathi1Shilpa R. Madhuri2Swapna G.3Department of Mathematics, GITAM University, Doddaballapur- 561 203, Bengaluru Rural, Karnataka, IndiaDepartment of Mathematics, Kakatiya University, Warangal- 506 009, Telangana, India, IndiaDepartment of Mathematics, GITAM University, Doddaballapur- 561 203, Bengaluru Rural, Karnataka, IndiaDepartment of Mathematics, GITAM University, Doddaballapur- 561 203, Bengaluru Rural, Karnataka, IndiaIn this paper,we introduce and study a new subclass of meromorphic functions associated with a certain differential operator on Hilbert space. For this class, we obtain several properties like the coefficient inequality, growth and distortion theorem, radius of close-to-convexity, starlikeness and meromorphically convexity and integral transforms. Further, it is shown that this class is closed under convex linear combinations.https://doi.org/10.1515/conop-2020-0114meromorphic functionsbessel functionscoefficient estimateshadamard producthilbert space operators30c4530c50
collection DOAJ
language English
format Article
sources DOAJ
author Venkateswarlu B.
Reddy P. Thirupathi
Shilpa R. Madhuri
Swapna G.
spellingShingle Venkateswarlu B.
Reddy P. Thirupathi
Shilpa R. Madhuri
Swapna G.
A Note on Meromorphic Functions Associated With Beseel Function Defined by Hilbert Sapce Operator
Concrete Operators
meromorphic functions
bessel functions
coefficient estimates
hadamard product
hilbert space operators
30c45
30c50
author_facet Venkateswarlu B.
Reddy P. Thirupathi
Shilpa R. Madhuri
Swapna G.
author_sort Venkateswarlu B.
title A Note on Meromorphic Functions Associated With Beseel Function Defined by Hilbert Sapce Operator
title_short A Note on Meromorphic Functions Associated With Beseel Function Defined by Hilbert Sapce Operator
title_full A Note on Meromorphic Functions Associated With Beseel Function Defined by Hilbert Sapce Operator
title_fullStr A Note on Meromorphic Functions Associated With Beseel Function Defined by Hilbert Sapce Operator
title_full_unstemmed A Note on Meromorphic Functions Associated With Beseel Function Defined by Hilbert Sapce Operator
title_sort note on meromorphic functions associated with beseel function defined by hilbert sapce operator
publisher De Gruyter
series Concrete Operators
issn 2299-3282
publishDate 2021-06-01
description In this paper,we introduce and study a new subclass of meromorphic functions associated with a certain differential operator on Hilbert space. For this class, we obtain several properties like the coefficient inequality, growth and distortion theorem, radius of close-to-convexity, starlikeness and meromorphically convexity and integral transforms. Further, it is shown that this class is closed under convex linear combinations.
topic meromorphic functions
bessel functions
coefficient estimates
hadamard product
hilbert space operators
30c45
30c50
url https://doi.org/10.1515/conop-2020-0114
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