Mapping properties of certain linear operator associated with hypergeometric functions
The main object of the present paper is to nd some su¢ cient conditions in terms of hypergeometric inequalities so that the linear operator denoted by Ha;b;c : maps a certain subclass of close-to-convex function R (A;B) into subclasses of k-uniformly starlike and k-uniformly convex functions k ST...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2020-10-01
|
| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/39670 |
| _version_ | 1797633535654232064 |
|---|---|
| author | T. Panigrahi R. El-Ashwah |
| author_facet | T. Panigrahi R. El-Ashwah |
| author_sort | T. Panigrahi |
| collection | DOAJ |
| description |
The main object of the present paper is to
nd some su¢ cient conditions in terms of hypergeometric inequalities so that the linear operator denoted by Ha;b;c : maps a certain subclass of close-to-convex function R (A;B) into subclasses of k-uniformly starlike and k-uniformly convex functions k ST () and k UCV() respectively. Further, we consider an integral operator and discuss its properties. Our results generalize some relevant results.
|
| first_indexed | 2024-03-11T11:55:21Z |
| format | Article |
| id | doaj.art-eac17a96eb7e4177a949120679958764 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:55:21Z |
| publishDate | 2020-10-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-eac17a96eb7e4177a9491206799587642023-11-08T20:01:38ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882020-10-0139210.5269/bspm.39670Mapping properties of certain linear operator associated with hypergeometric functionsT. Panigrahi0R. El-Ashwah1KIIT to be UniversityDamietta University The main object of the present paper is to
nd some su¢ cient conditions in terms of hypergeometric inequalities so that the linear operator denoted by Ha;b;c : maps a certain subclass of close-to-convex function R (A;B) into subclasses of k-uniformly starlike and k-uniformly convex functions k ST () and k UCV() respectively. Further, we consider an integral operator and discuss its properties. Our results generalize some relevant results. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/39670 |
| spellingShingle | T. Panigrahi R. El-Ashwah Mapping properties of certain linear operator associated with hypergeometric functions Boletim da Sociedade Paranaense de Matemática |
| title | Mapping properties of certain linear operator associated with hypergeometric functions |
| title_full | Mapping properties of certain linear operator associated with hypergeometric functions |
| title_fullStr | Mapping properties of certain linear operator associated with hypergeometric functions |
| title_full_unstemmed | Mapping properties of certain linear operator associated with hypergeometric functions |
| title_short | Mapping properties of certain linear operator associated with hypergeometric functions |
| title_sort | mapping properties of certain linear operator associated with hypergeometric functions |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/39670 |
| work_keys_str_mv | AT tpanigrahi mappingpropertiesofcertainlinearoperatorassociatedwithhypergeometricfunctions AT relashwah mappingpropertiesofcertainlinearoperatorassociatedwithhypergeometricfunctions |