Second Hankel Determinant for Strongly Bi-Starlike of order α
Let A denote the class of functions f (z) = z + ∞ n=2 anz n which are analytic in the open unit disc U = {z : |z| < 1}. Let S denote the class of all functions in A that are univalent in U. A function f ∈ A is said to be bi-univalent in U if both f and f −1 are univalent in U. Let denote the cla...
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Research India publications
2018
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Online Access: | https://eprints.ums.edu.my/id/eprint/35848/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/35848/2/FULL%20TEXT.pdf |
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author | Chow Li Yong Aini Janteng Suzeini Abd. Halim |
author_facet | Chow Li Yong Aini Janteng Suzeini Abd. Halim |
author_sort | Chow Li Yong |
collection | UMS |
description | Let A denote the class of functions f (z) = z + ∞ n=2 anz n which are analytic in the open unit disc U = {z : |z| < 1}. Let S denote the class of all functions in A that are univalent in U. A function f ∈ A is said to be bi-univalent in U if both f and f −1 are univalent in U. Let denote the class of bi-univalent functions in U. In this paper, we obtained the upper bounds for the second Hankel functional |a2a4 − a2 3 | for strongly bi-starlike of order α |
first_indexed | 2024-03-06T03:24:11Z |
format | Article |
id | ums.eprints-35848 |
institution | Universiti Malaysia Sabah |
language | English English |
last_indexed | 2024-03-06T03:24:11Z |
publishDate | 2018 |
publisher | Research India publications |
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spelling | ums.eprints-358482023-07-14T07:00:26Z https://eprints.ums.edu.my/id/eprint/35848/ Second Hankel Determinant for Strongly Bi-Starlike of order α Chow Li Yong Aini Janteng Suzeini Abd. Halim AS11-785 By region or country QA299.6-433 Analysis Let A denote the class of functions f (z) = z + ∞ n=2 anz n which are analytic in the open unit disc U = {z : |z| < 1}. Let S denote the class of all functions in A that are univalent in U. A function f ∈ A is said to be bi-univalent in U if both f and f −1 are univalent in U. Let denote the class of bi-univalent functions in U. In this paper, we obtained the upper bounds for the second Hankel functional |a2a4 − a2 3 | for strongly bi-starlike of order α Research India publications 2018 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/35848/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/35848/2/FULL%20TEXT.pdf Chow Li Yong and Aini Janteng and Suzeini Abd. Halim (2018) Second Hankel Determinant for Strongly Bi-Starlike of order α. Global Journal of Pure and Applied Mathematics., 14 (6). pp. 1-9. ISSN 0973-1768 |
spellingShingle | AS11-785 By region or country QA299.6-433 Analysis Chow Li Yong Aini Janteng Suzeini Abd. Halim Second Hankel Determinant for Strongly Bi-Starlike of order α |
title | Second Hankel Determinant for Strongly Bi-Starlike of order α |
title_full | Second Hankel Determinant for Strongly Bi-Starlike of order α |
title_fullStr | Second Hankel Determinant for Strongly Bi-Starlike of order α |
title_full_unstemmed | Second Hankel Determinant for Strongly Bi-Starlike of order α |
title_short | Second Hankel Determinant for Strongly Bi-Starlike of order α |
title_sort | second hankel determinant for strongly bi starlike of order α |
topic | AS11-785 By region or country QA299.6-433 Analysis |
url | https://eprints.ums.edu.my/id/eprint/35848/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/35848/2/FULL%20TEXT.pdf |
work_keys_str_mv | AT chowliyong secondhankeldeterminantforstronglybistarlikeofordera AT ainijanteng secondhankeldeterminantforstronglybistarlikeofordera AT suzeiniabdhalim secondhankeldeterminantforstronglybistarlikeofordera |