| Title:
|
Uniformly convex spiral functions and uniformly spirallike functions associated with Pascal distribution series (English) |
| Author:
|
Murugusundaramoorthy, Gangadharan |
| Author:
|
Frasin, Basem Aref |
| Author:
|
Al-Hawary, Tariq |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
147 |
| Issue:
|
3 |
| Year:
|
2022 |
| Pages:
|
407-417 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in the classes $\mathcal {SP}_{p}(\alpha ,\beta )$ and $\mathcal {UCV}_{p}(\alpha ,\beta )$ of uniformly spirallike functions. Further, we consider an integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered. (English) |
| Keyword:
|
analytic function |
| Keyword:
|
Hadamard product |
| Keyword:
|
uniformly spirallike function |
| Keyword:
|
Pascal distribution series |
| MSC:
|
30C45 |
| idZBL:
|
Zbl 07584133 |
| idMR:
|
MR4482314 |
| DOI:
|
10.21136/MB.2021.0132-20 |
| . |
| Date available:
|
2022-09-05T09:41:00Z |
| Last updated:
|
2022-12-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151016 |
| . |
| Reference:
|
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