Application of Pascal distribution series to Rønning type starlike and convex functions
In this article we investigate the connections between the Pascal distribution series and the class of analytic functions f normalized by f(0) = f 0 (0) − 1 = 0 in the open unit disk U = {z ∈ C : |z| < 1} and its coefficients are probabilities of the Pascal distribution.More precisely ,we det...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
ATNAA
2020-10-01
|
| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/1121718 |
| _version_ | 1797914064921296896 |
|---|---|
| author | Gangadharan Murugusundaramoorthy |
| author_facet | Gangadharan Murugusundaramoorthy |
| author_sort | Gangadharan Murugusundaramoorthy |
| collection | DOAJ |
| description | In this article we investigate the connections between the Pascal distribution series and the class of analytic
functions f normalized by f(0) = f
0
(0) − 1 = 0 in the open unit disk U = {z ∈ C : |z| < 1} and its
coefficients are probabilities of the Pascal distribution.More precisely ,we determine such connection with
parabolic starlike and uniformly convex functions in the open unit disk U . |
| first_indexed | 2024-04-10T12:21:03Z |
| format | Article |
| id | doaj.art-4a83885030a94e999cb4e2398a50df5f |
| institution | Directory Open Access Journal |
| issn | 2587-2648 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T12:21:03Z |
| publishDate | 2020-10-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-4a83885030a94e999cb4e2398a50df5f2023-02-15T16:15:27ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482020-10-014424325110.31197/atnaa.743436Application of Pascal distribution series to Rønning type starlike and convex functionsGangadharan MurugusundaramoorthyIn this article we investigate the connections between the Pascal distribution series and the class of analytic functions f normalized by f(0) = f 0 (0) − 1 = 0 in the open unit disk U = {z ∈ C : |z| < 1} and its coefficients are probabilities of the Pascal distribution.More precisely ,we determine such connection with parabolic starlike and uniformly convex functions in the open unit disk U .https://dergipark.org.tr/tr/download/article-file/1121718starlike functionsconvex functionsuniformly starlike functionsuniformly convex functionshadamard productpascal distribution series |
| spellingShingle | Gangadharan Murugusundaramoorthy Application of Pascal distribution series to Rønning type starlike and convex functions Advances in the Theory of Nonlinear Analysis and its Applications starlike functions convex functions uniformly starlike functions uniformly convex functions hadamard product pascal distribution series |
| title | Application of Pascal distribution series to Rønning type starlike and convex functions |
| title_full | Application of Pascal distribution series to Rønning type starlike and convex functions |
| title_fullStr | Application of Pascal distribution series to Rønning type starlike and convex functions |
| title_full_unstemmed | Application of Pascal distribution series to Rønning type starlike and convex functions |
| title_short | Application of Pascal distribution series to Rønning type starlike and convex functions |
| title_sort | application of pascal distribution series to ronning type starlike and convex functions |
| topic | starlike functions convex functions uniformly starlike functions uniformly convex functions hadamard product pascal distribution series |
| url | https://dergipark.org.tr/tr/download/article-file/1121718 |
| work_keys_str_mv | AT gangadharanmurugusundaramoorthy applicationofpascaldistributionseriestorønningtypestarlikeandconvexfunctions |