Subclasses of starlike functions associated with a fractional calculus operator involving Caputo's fractional differentiation
In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using certain fractional operators descibed in the Caputo sense and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity an...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2011-12-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/849 |
| _version_ | 1819145181672243200 |
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| author | Gangaharan Murugu Sundaramoorthy K. Thilagavathi |
| author_facet | Gangaharan Murugu Sundaramoorthy K. Thilagavathi |
| author_sort | Gangaharan Murugu Sundaramoorthy |
| collection | DOAJ |
| description | In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using certain fractional operators descibed in the Caputo sense and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for functions in this new class. In particular, we obtain modified Hadamard product results for the function f(z) belongs to the new class in the unit disc. |
| first_indexed | 2024-12-22T12:53:57Z |
| format | Article |
| id | doaj.art-37007551678644c5aa46ac1c78d3fa30 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-22T12:53:57Z |
| publishDate | 2011-12-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-37007551678644c5aa46ac1c78d3fa302022-12-21T18:25:09ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982011-12-016623547791Subclasses of starlike functions associated with a fractional calculus operator involving Caputo's fractional differentiationGangaharan Murugu Sundaramoorthy0K. ThilagavathiVIT UNIVERSITYIn this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using certain fractional operators descibed in the Caputo sense and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for functions in this new class. In particular, we obtain modified Hadamard product results for the function f(z) belongs to the new class in the unit disc.http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/849UnivalentStarlikeConvexHadamard product (or Convolution)Integral operator. |
| spellingShingle | Gangaharan Murugu Sundaramoorthy K. Thilagavathi Subclasses of starlike functions associated with a fractional calculus operator involving Caputo's fractional differentiation Le Matematiche Univalent Starlike Convex Hadamard product (or Convolution) Integral operator. |
| title | Subclasses of starlike functions associated with a fractional calculus operator involving Caputo's fractional differentiation |
| title_full | Subclasses of starlike functions associated with a fractional calculus operator involving Caputo's fractional differentiation |
| title_fullStr | Subclasses of starlike functions associated with a fractional calculus operator involving Caputo's fractional differentiation |
| title_full_unstemmed | Subclasses of starlike functions associated with a fractional calculus operator involving Caputo's fractional differentiation |
| title_short | Subclasses of starlike functions associated with a fractional calculus operator involving Caputo's fractional differentiation |
| title_sort | subclasses of starlike functions associated with a fractional calculus operator involving caputo s fractional differentiation |
| topic | Univalent Starlike Convex Hadamard product (or Convolution) Integral operator. |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/849 |
| work_keys_str_mv | AT gangaharanmurugusundaramoorthy subclassesofstarlikefunctionsassociatedwithafractionalcalculusoperatorinvolvingcaputosfractionaldifferentiation AT kthilagavathi subclassesofstarlikefunctionsassociatedwithafractionalcalculusoperatorinvolvingcaputosfractionaldifferentiation |