On the Inequality Theorem for a Wider Class of Analytic Functions with Hadamard Product
In this paper, we discuss a well known class studied by Ramesha in 1995 and later by Janteng in 2006, and we then extend the class to a wider class of functions f denoted by nαβ,γ which are normalized and univalent, in the unit disk D=z∈ℂ:z<1 satisfying the condition Reαz2f′′z/gz+zf′z/gz>β, 0≤...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2022/8381624 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849304745391423488 |
|---|---|
| author | Ma’moun I. Y. Alharayzeh Maslina Darus |
| author_facet | Ma’moun I. Y. Alharayzeh Maslina Darus |
| author_sort | Ma’moun I. Y. Alharayzeh |
| collection | DOAJ |
| description | In this paper, we discuss a well known class studied by Ramesha in 1995 and later by Janteng in 2006, and we then extend the class to a wider class of functions f denoted by nαβ,γ which are normalized and univalent, in the unit disk D=z∈ℂ:z<1 satisfying the condition Reαz2f′′z/gz+zf′z/gz>β, 0≤α<1,0≤β<1, where g is analytic function in D, such that gz≠0, with a new condition that is introduced. The main purpose of this paper is to give an estimate for the same a3−μa22 when f belongs to the class nαβ,γ. |
| format | Article |
| id | doaj-art-3ddc8311492b423d8aae52b2ce56036e |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3ddc8311492b423d8aae52b2ce56036e2025-08-20T03:55:40ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252022-01-01202210.1155/2022/8381624On the Inequality Theorem for a Wider Class of Analytic Functions with Hadamard ProductMa’moun I. Y. Alharayzeh0Maslina Darus1Department of Basic Scientific SciencesDepartment of Mathematical SciencesIn this paper, we discuss a well known class studied by Ramesha in 1995 and later by Janteng in 2006, and we then extend the class to a wider class of functions f denoted by nαβ,γ which are normalized and univalent, in the unit disk D=z∈ℂ:z<1 satisfying the condition Reαz2f′′z/gz+zf′z/gz>β, 0≤α<1,0≤β<1, where g is analytic function in D, such that gz≠0, with a new condition that is introduced. The main purpose of this paper is to give an estimate for the same a3−μa22 when f belongs to the class nαβ,γ.http://dx.doi.org/10.1155/2022/8381624 |
| spellingShingle | Ma’moun I. Y. Alharayzeh Maslina Darus On the Inequality Theorem for a Wider Class of Analytic Functions with Hadamard Product International Journal of Mathematics and Mathematical Sciences |
| title | On the Inequality Theorem for a Wider Class of Analytic Functions with Hadamard Product |
| title_full | On the Inequality Theorem for a Wider Class of Analytic Functions with Hadamard Product |
| title_fullStr | On the Inequality Theorem for a Wider Class of Analytic Functions with Hadamard Product |
| title_full_unstemmed | On the Inequality Theorem for a Wider Class of Analytic Functions with Hadamard Product |
| title_short | On the Inequality Theorem for a Wider Class of Analytic Functions with Hadamard Product |
| title_sort | on the inequality theorem for a wider class of analytic functions with hadamard product |
| url | http://dx.doi.org/10.1155/2022/8381624 |
| work_keys_str_mv | AT mamouniyalharayzeh ontheinequalitytheoremforawiderclassofanalyticfunctionswithhadamardproduct AT maslinadarus ontheinequalitytheoremforawiderclassofanalyticfunctionswithhadamardproduct |