Generalization of certain subclasses of analytic functions
We introduce the subclass Tj(n,m,α) of analytic functions with negative coefficients by the operator Dn. Coefficient inequalities and distortion theorems of functions in Tj(n,m,α) are determind. Further, distortion theorems for fractional calculus of functions in Tj(n,m,α) are obtained.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1987-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171287000826 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564837538856960 |
|---|---|
| author | Tadayuki Sekine |
| author_facet | Tadayuki Sekine |
| author_sort | Tadayuki Sekine |
| collection | DOAJ |
| description | We introduce the subclass Tj(n,m,α) of analytic functions with negative coefficients by the operator Dn. Coefficient inequalities and distortion theorems of functions in Tj(n,m,α) are determind. Further, distortion theorems for fractional calculus of functions in Tj(n,m,α) are obtained. |
| format | Article |
| id | doaj-art-9dd291dc2ec240fb98529da024c675ce |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9dd291dc2ec240fb98529da024c675ce2025-02-03T01:10:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110472573210.1155/S0161171287000826Generalization of certain subclasses of analytic functionsTadayuki Sekine0Department of Mathemetics Science and Technology, Nihon University, 1-8 Kanda Surugadai, Chiyoda-ku, Tokyo 101, JapanWe introduce the subclass Tj(n,m,α) of analytic functions with negative coefficients by the operator Dn. Coefficient inequalities and distortion theorems of functions in Tj(n,m,α) are determind. Further, distortion theorems for fractional calculus of functions in Tj(n,m,α) are obtained.http://dx.doi.org/10.1155/S0161171287000826analytic functionsnegative coefficientscoefficient inequalitiesdistortion theoremfractional calculus. |
| spellingShingle | Tadayuki Sekine Generalization of certain subclasses of analytic functions International Journal of Mathematics and Mathematical Sciences analytic functions negative coefficients coefficient inequalities distortion theorem fractional calculus. |
| title | Generalization of certain subclasses of analytic functions |
| title_full | Generalization of certain subclasses of analytic functions |
| title_fullStr | Generalization of certain subclasses of analytic functions |
| title_full_unstemmed | Generalization of certain subclasses of analytic functions |
| title_short | Generalization of certain subclasses of analytic functions |
| title_sort | generalization of certain subclasses of analytic functions |
| topic | analytic functions negative coefficients coefficient inequalities distortion theorem fractional calculus. |
| url | http://dx.doi.org/10.1155/S0161171287000826 |
| work_keys_str_mv | AT tadayukisekine generalizationofcertainsubclassesofanalyticfunctions |