On a Subclass of Harmonic Convex Functions of Complex Order
We introduce and study a subclass of harmonic convex functions of complex order. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are determined for functions in this class. Further, we obtain the closure property of this class under integral oper...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/496731 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560578536669184 |
|---|---|
| author | N. Magesh S. Mayilvaganan |
| author_facet | N. Magesh S. Mayilvaganan |
| author_sort | N. Magesh |
| collection | DOAJ |
| description | We introduce and study a subclass of harmonic convex functions of complex order. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are determined for functions in this class. Further, we obtain the closure property of this class under integral operator. |
| format | Article |
| id | doaj-art-135dab66468d45b4aae875798858b88d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-135dab66468d45b4aae875798858b88d2025-02-03T01:27:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/496731496731On a Subclass of Harmonic Convex Functions of Complex OrderN. Magesh0S. Mayilvaganan1Department of Mathematics, Government Arts College, Krishnagiri 635 001, IndiaDepartment of Mathematics, Adhiyamaan College of Engineering (Autonomous), Hosur 635 109, IndiaWe introduce and study a subclass of harmonic convex functions of complex order. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are determined for functions in this class. Further, we obtain the closure property of this class under integral operator.http://dx.doi.org/10.1155/2012/496731 |
| spellingShingle | N. Magesh S. Mayilvaganan On a Subclass of Harmonic Convex Functions of Complex Order International Journal of Mathematics and Mathematical Sciences |
| title | On a Subclass of Harmonic Convex Functions of Complex Order |
| title_full | On a Subclass of Harmonic Convex Functions of Complex Order |
| title_fullStr | On a Subclass of Harmonic Convex Functions of Complex Order |
| title_full_unstemmed | On a Subclass of Harmonic Convex Functions of Complex Order |
| title_short | On a Subclass of Harmonic Convex Functions of Complex Order |
| title_sort | on a subclass of harmonic convex functions of complex order |
| url | http://dx.doi.org/10.1155/2012/496731 |
| work_keys_str_mv | AT nmagesh onasubclassofharmonicconvexfunctionsofcomplexorder AT smayilvaganan onasubclassofharmonicconvexfunctionsofcomplexorder |