3 proofs of 2 well-known theorems on starlike and convex functions
Let f be analytic in D = {z ∈ C : |z| < 1}, and be given by f(z) = z + P∞ n=2 anzn. We give three different proofs for the well-known sharp bounds for the second Hankel determinant |H2(2)(f)| = |a2a4 − a23 | for starlike and convex functions.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2022
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| Online Access: | http://journalarticle.ukm.my/19451/ http://journalarticle.ukm.my/19451/1/Paper-6-Maslina.pdf |
| _version_ | 1848814845087973376 |
|---|---|
| author | Maslina Darus, Derek K. Thomas, |
| author_facet | Maslina Darus, Derek K. Thomas, |
| author_sort | Maslina Darus, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | Let f be analytic in D = {z ∈ C : |z| < 1}, and be given by f(z) = z +
P∞
n=2 anzn. We
give three different proofs for the well-known sharp bounds for the second Hankel determinant
|H2(2)(f)| = |a2a4 − a23
| for starlike and convex functions. |
| first_indexed | 2025-11-15T00:40:33Z |
| format | Article |
| id | oai:generic.eprints.org:19451 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:40:33Z |
| publishDate | 2022 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:194512022-08-19T01:56:40Z http://journalarticle.ukm.my/19451/ 3 proofs of 2 well-known theorems on starlike and convex functions Maslina Darus, Derek K. Thomas, Let f be analytic in D = {z ∈ C : |z| < 1}, and be given by f(z) = z + P∞ n=2 anzn. We give three different proofs for the well-known sharp bounds for the second Hankel determinant |H2(2)(f)| = |a2a4 − a23 | for starlike and convex functions. Penerbit Universiti Kebangsaan Malaysia 2022 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/19451/1/Paper-6-Maslina.pdf Maslina Darus, and Derek K. Thomas, (2022) 3 proofs of 2 well-known theorems on starlike and convex functions. Journal of Quality Measurement and Analysis, 18 (1). pp. 63-69. ISSN 1823-5670 https://www.ukm.my/jqma/jqma18-1/ |
| spellingShingle | Maslina Darus, Derek K. Thomas, 3 proofs of 2 well-known theorems on starlike and convex functions |
| title | 3 proofs of 2 well-known theorems on starlike and convex
functions |
| title_full | 3 proofs of 2 well-known theorems on starlike and convex
functions |
| title_fullStr | 3 proofs of 2 well-known theorems on starlike and convex
functions |
| title_full_unstemmed | 3 proofs of 2 well-known theorems on starlike and convex
functions |
| title_short | 3 proofs of 2 well-known theorems on starlike and convex
functions |
| title_sort | 3 proofs of 2 well-known theorems on starlike and convex
functions |
| url | http://journalarticle.ukm.my/19451/ http://journalarticle.ukm.my/19451/ http://journalarticle.ukm.my/19451/1/Paper-6-Maslina.pdf |