2021
DOI: 10.3390/sym13071179
|View full text |Cite
|
Sign up to set email alerts
|

On Coefficient Problems for Functions Connected with the Sine Function

Abstract: In this paper, some coefficient problems for starlike analytic functions with respect to symmetric points are considered. Bounds of several coefficient functionals for functions belonging to this class are provided. The main aim of this paper is to find estimates for the following: coefficients, logarithmic coefficients, some cases of the generalized Zalcman coefficient functional, and some cases of the Hankel determinant.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
2
0

Year Published

2021
2021
2024
2024

Publication Types

Select...
4

Relationship

0
4

Authors

Journals

citations
Cited by 4 publications
(2 citation statements)
references
References 37 publications
0
2
0
Order By: Relevance
“…It is worth noting that knowing everything about B 0 , including estimates of coefcient functionals, is a good tool in studies of other classes of analytic functions. Using these results, one can easily obtain the fourth and ffth Hankel determinants as studied in the articles [20][21][22][23].…”
Section: Discussionmentioning
confidence: 99%
“…It is worth noting that knowing everything about B 0 , including estimates of coefcient functionals, is a good tool in studies of other classes of analytic functions. Using these results, one can easily obtain the fourth and ffth Hankel determinants as studied in the articles [20][21][22][23].…”
Section: Discussionmentioning
confidence: 99%
“…In 1966-1967, Pommerenke defined the Hankel determinant, but it was not evaluated till the year 2010. In 2010, Babalola [34] was the first researcher who worked on H 3,1 ( f ) and successfully obtained the upper bounds of |H 3,1 ( f )| related to the classes S * , K and R. Following this result, a few researchers extended this work for the various subcollections of univalent and holomorphic functions; see [35][36][37][38][39][40][41][42][43][44][45][46][47].…”
Section: S *mentioning
confidence: 99%