Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination
In the present investigation, we introduce certain new subclasses of the class of biunivalent functions in the open unit disc U=z:z<1 defined by quasi-subordination. We obtained estimates on the initial coefficients a2 and a3 for the functions in these subclasses. The results present in this pape...
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2019-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2019/6947020 |
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author | Gurmeet Singh Gurcharanjit Singh Gagandeep Singh |
author_facet | Gurmeet Singh Gurcharanjit Singh Gagandeep Singh |
author_sort | Gurmeet Singh |
collection | DOAJ |
description | In the present investigation, we introduce certain new subclasses of the class of biunivalent functions in the open unit disc U=z:z<1 defined by quasi-subordination. We obtained estimates on the initial coefficients a2 and a3 for the functions in these subclasses. The results present in this paper would generalize and improve those in related works of several earlier authors. |
format | Article |
id | doaj-art-76863fea41de4409a3df4db9da11ff29 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2019-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-76863fea41de4409a3df4db9da11ff292025-02-03T01:11:15ZengWileyAbstract and Applied Analysis1085-33751687-04092019-01-01201910.1155/2019/69470206947020Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-SubordinationGurmeet Singh0Gurcharanjit Singh1Gagandeep Singh2Principal, Patel Memorial National College, Rajpura, Punjab, IndiaResearch Scholar, Department of Mathematics, Punjabi University, Patiala, Punjab, IndiaDepartment of Mathematics, Majha College for Women, Tarn Taran Sahib, Punjab, IndiaIn the present investigation, we introduce certain new subclasses of the class of biunivalent functions in the open unit disc U=z:z<1 defined by quasi-subordination. We obtained estimates on the initial coefficients a2 and a3 for the functions in these subclasses. The results present in this paper would generalize and improve those in related works of several earlier authors.http://dx.doi.org/10.1155/2019/6947020 |
spellingShingle | Gurmeet Singh Gurcharanjit Singh Gagandeep Singh Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination Abstract and Applied Analysis |
title | Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination |
title_full | Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination |
title_fullStr | Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination |
title_full_unstemmed | Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination |
title_short | Certain Subclasses of Bi-Close-to-Convex Functions Associated with Quasi-Subordination |
title_sort | certain subclasses of bi close to convex functions associated with quasi subordination |
url | http://dx.doi.org/10.1155/2019/6947020 |
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