Coefficient Estimates for Certain Classes of Bi-Univalent Functions
A function analytic in the open unit disk is said to be bi-univalent in if both the function and its inverse map are univalent there. The bi-univalency condition imposed on the functions analytic in makes the behavior of their coefficients unpredictable. Not much is known about the behavior of th...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2013/190560 |
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| _version_ | 1832564320127418368 |
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| author | Jay M. Jahangiri Samaneh G. Hamidi |
| author_facet | Jay M. Jahangiri Samaneh G. Hamidi |
| author_sort | Jay M. Jahangiri |
| collection | DOAJ |
| description | A function analytic in the open unit disk is said to be bi-univalent in if both the function
and its inverse map are univalent there. The bi-univalency condition imposed
on the functions analytic in makes the behavior of their
coefficients unpredictable. Not much is known about the behavior of the
higher order coefficients of classes of bi-univalent functions. We use Faber
polynomial expansions of bi-univalent functions to obtain estimates for
their general coefficients subject to certain gap series as well as
providing bounds for early coefficients of such functions. |
| format | Article |
| id | doaj-art-3cb77e23d0514b8f94560da5579699dd |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3cb77e23d0514b8f94560da5579699dd2025-02-03T01:11:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/190560190560Coefficient Estimates for Certain Classes of Bi-Univalent FunctionsJay M. Jahangiri0Samaneh G. Hamidi1Department of Mathematical Sciences, Kent State University, Burton, OH 44021-9500, USAInstitute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, MalaysiaA function analytic in the open unit disk is said to be bi-univalent in if both the function and its inverse map are univalent there. The bi-univalency condition imposed on the functions analytic in makes the behavior of their coefficients unpredictable. Not much is known about the behavior of the higher order coefficients of classes of bi-univalent functions. We use Faber polynomial expansions of bi-univalent functions to obtain estimates for their general coefficients subject to certain gap series as well as providing bounds for early coefficients of such functions.http://dx.doi.org/10.1155/2013/190560 |
| spellingShingle | Jay M. Jahangiri Samaneh G. Hamidi Coefficient Estimates for Certain Classes of Bi-Univalent Functions International Journal of Mathematics and Mathematical Sciences |
| title | Coefficient Estimates for Certain Classes of Bi-Univalent Functions |
| title_full | Coefficient Estimates for Certain Classes of Bi-Univalent Functions |
| title_fullStr | Coefficient Estimates for Certain Classes of Bi-Univalent Functions |
| title_full_unstemmed | Coefficient Estimates for Certain Classes of Bi-Univalent Functions |
| title_short | Coefficient Estimates for Certain Classes of Bi-Univalent Functions |
| title_sort | coefficient estimates for certain classes of bi univalent functions |
| url | http://dx.doi.org/10.1155/2013/190560 |
| work_keys_str_mv | AT jaymjahangiri coefficientestimatesforcertainclassesofbiunivalentfunctions AT samanehghamidi coefficientestimatesforcertainclassesofbiunivalentfunctions |