Hankel Determinants of Logarithmic Coefficients for the Class of Bounded Turning Functions Associated with Cardioid Domain

In this study, we initially established bounds for the logarithmic coefficients concerning a specific subclass of bounded turning functions R_℘ that are linked to the cardioid domain. For the functions belonging to this class, we identified sharp bounds for the second Hankel determinant of logarithmic coefficients, denoted as H_2,1 (F_f \/2). In conclusion, we computed the bounds of the third Hankel determinant of logarithmic coefficients H_3,1 (F_f \/2).

Authors

Institutions

Publication Details

Journal
Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
Published
2025-06-27
DOI
https://doi.org/10.17798/bitlisfen.1583030
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Hankel Determinants of Logarithmic Coefficients for the Class of Bounded Turning Functions Associated with Cardioid Domain

Bilal Şeker, Onur Akçiçek
1 links
Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
Analytic and geometric function theory
article

Hankel Determinants of Logarithmic Coefficients for the Class of Bounded Turning Functions Associated with Cardioid Domain

Bilal Şeker, Onur Akçiçek
article en

Abstract

In this study, we initially established bounds for the logarithmic coefficients concerning a specific subclass of bounded turning functions R_℘ that are linked to the cardioid domain. For the functions belonging to this class, we identified sharp bounds for the second Hankel determinant of logarithmic coefficients, denoted as H_2,1 (F_f \/2). In conclusion, we computed the bounds of the third Hankel determinant of logarithmic coefficients H_3,1 (F_f \/2).

Bitlis Eren Üniversitesi Fen Bilimleri DergisiVol. 14(2)
Batman University (TR)
Openalex Percentile: Top 80%
Analytic and geometric function theory
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.