Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain
The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2019-10-01
|
| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | http://scma.maragheh.ac.ir/article_36057_c5109d49de17a43b53100e7a3a2631d1.pdf |
| id |
doaj-f0442fc6f70541148138e19317bd90dd |
|---|---|
| record_format |
Article |
| spelling |
doaj-f0442fc6f70541148138e19317bd90dd2020-11-25T02:41:57ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002019-10-01161698110.22130/scma.2018.87581.44936057Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic DomainMuhamamd Tahir0Nazar Khan1Qazi Zahoor Ahmad2Bilal Khan3Gul Mehtab Khan4Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan.Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan.Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan.Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan.Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan.The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}right vert $ for functions in these new subclasses. We consider various corollaries and consequences of our main results. We also point out relevant connections to some of the earlier known developments.http://scma.maragheh.ac.ir/article_36057_c5109d49de17a43b53100e7a3a2631d1.pdfUnivalent functionAnalytic functionBi-univalent functionSubordination between analytic functionsStarlike and strongly starlike functionsConic domain |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Muhamamd Tahir Nazar Khan Qazi Zahoor Ahmad Bilal Khan Gul Mehtab Khan |
| spellingShingle |
Muhamamd Tahir Nazar Khan Qazi Zahoor Ahmad Bilal Khan Gul Mehtab Khan Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain Sahand Communications in Mathematical Analysis Univalent function Analytic function Bi-univalent function Subordination between analytic functions Starlike and strongly starlike functions Conic domain |
| author_facet |
Muhamamd Tahir Nazar Khan Qazi Zahoor Ahmad Bilal Khan Gul Mehtab Khan |
| author_sort |
Muhamamd Tahir |
| title |
Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain |
| title_short |
Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain |
| title_full |
Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain |
| title_fullStr |
Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain |
| title_full_unstemmed |
Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain |
| title_sort |
coefficient estimates for some subclasses of analytic and bi-univalent functions associated with conic domain |
| publisher |
University of Maragheh |
| series |
Sahand Communications in Mathematical Analysis |
| issn |
2322-5807 2423-3900 |
| publishDate |
2019-10-01 |
| description |
The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}right vert $ for functions in these new subclasses. We consider various corollaries and consequences of our main results. We also point out relevant connections to some of the earlier known developments. |
| topic |
Univalent function Analytic function Bi-univalent function Subordination between analytic functions Starlike and strongly starlike functions Conic domain |
| url |
http://scma.maragheh.ac.ir/article_36057_c5109d49de17a43b53100e7a3a2631d1.pdf |
| work_keys_str_mv |
AT muhamamdtahir coefficientestimatesforsomesubclassesofanalyticandbiunivalentfunctionsassociatedwithconicdomain AT nazarkhan coefficientestimatesforsomesubclassesofanalyticandbiunivalentfunctionsassociatedwithconicdomain AT qazizahoorahmad coefficientestimatesforsomesubclassesofanalyticandbiunivalentfunctionsassociatedwithconicdomain AT bilalkhan coefficientestimatesforsomesubclassesofanalyticandbiunivalentfunctionsassociatedwithconicdomain AT gulmehtabkhan coefficientestimatesforsomesubclassesofanalyticandbiunivalentfunctionsassociatedwithconicdomain |
| _version_ |
1724776347406958592 |