Coefficient Estimates for Analytic Functions Subordinate to the Four-Leaf Domain

Tejas Nagamangala Sathyananda; Raju Dasanur Shivanna; Nanjundan Magesh; Senthil Raja D

doi:10.47000/tjmcs.1786554

Coefficient Estimates for Analytic Functions Subordinate to the Four-Leaf Domain

Abstract

In recent years, various geometric domains have been employed to define subclasses of analytic functions aimed at deriving sharp estimates for the Taylor--Maclaurin coefficients. In this paper, we introduce and investigate a novel subclass of analytic functions associated with the four-leaf domain, which is symmetric about the real axis. For this class, we determine sharp coefficient estimates, establish Fekete--Szeg\"{o} inequalities and present generalized Zalcman-type functionals, along with estimates of Hankel determinants of prescribed order. Furthermore, we derive results for inverse functions and logarithmic coefficients. As an application, we introduce a generalized Hadamard product subclass and apply the derived results to generating functions associated with the Poisson, Pascal and Borel distributions. Connections to previously established results are also discussed.

Keywords

Project Number

Not Applicable

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Details

Primary Language

English

Subjects

Real and Complex Functions (Incl. Several Variables)

Journal Section

Research Article

Authors

Tejas Nagamangala Sathyananda ^*
0009-0009-4783-5092
India

Raju Dasanur Shivanna
0009-0003-0696-6332
India

Nanjundan Magesh
0000-0002-0764-8390
India

Senthil Raja D
0000-0001-7129-8180
India

Publication Date

June 30, 2026

Submission Date

September 18, 2025

Acceptance Date

February 5, 2026

Published in Issue

Year 2026 Volume: 18 Number: 2

DOI

https://doi.org/10.47000/tjmcs.1786554

IZ

https://izlik.org/JA24SA29RM

Cite

RIS / Bibtex

APA

Nagamangala Sathyananda, T., Dasanur Shivanna, R., Magesh, N., & D, S. R. (2026). Coefficient Estimates for Analytic Functions Subordinate to the Four-Leaf Domain. Turkish Journal of Mathematics and Computer Science, 18(2), 504-525. https://doi.org/10.47000/tjmcs.1786554

AMA

1.Nagamangala Sathyananda T, Dasanur Shivanna R, Magesh N, D SR. Coefficient Estimates for Analytic Functions Subordinate to the Four-Leaf Domain. TJMCS. 2026;18(2):504-525. doi:10.47000/tjmcs.1786554

Chicago

Nagamangala Sathyananda, Tejas, Raju Dasanur Shivanna, Nanjundan Magesh, and Senthil Raja D. 2026. “Coefficient Estimates for Analytic Functions Subordinate to the Four-Leaf Domain”. Turkish Journal of Mathematics and Computer Science 18 (2): 504-25. https://doi.org/10.47000/tjmcs.1786554.

EndNote

Nagamangala Sathyananda T, Dasanur Shivanna R, Magesh N, D SR (June 1, 2026) Coefficient Estimates for Analytic Functions Subordinate to the Four-Leaf Domain. Turkish Journal of Mathematics and Computer Science 18 2 504–525.

IEEE

[1]T. Nagamangala Sathyananda, R. Dasanur Shivanna, N. Magesh, and S. R. D, “Coefficient Estimates for Analytic Functions Subordinate to the Four-Leaf Domain”, TJMCS, vol. 18, no. 2, pp. 504–525, June 2026, doi: 10.47000/tjmcs.1786554.

ISNAD

Nagamangala Sathyananda, Tejas - Dasanur Shivanna, Raju - Magesh, Nanjundan - D, Senthil Raja. “Coefficient Estimates for Analytic Functions Subordinate to the Four-Leaf Domain”. Turkish Journal of Mathematics and Computer Science 18/2 (June 1, 2026): 504-525. https://doi.org/10.47000/tjmcs.1786554.

JAMA

1.Nagamangala Sathyananda T, Dasanur Shivanna R, Magesh N, D SR. Coefficient Estimates for Analytic Functions Subordinate to the Four-Leaf Domain. TJMCS. 2026;18:504–525.

MLA

Nagamangala Sathyananda, Tejas, et al. “Coefficient Estimates for Analytic Functions Subordinate to the Four-Leaf Domain”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 2, June 2026, pp. 504-25, doi:10.47000/tjmcs.1786554.

Vancouver

1.Tejas Nagamangala Sathyananda, Raju Dasanur Shivanna, Nanjundan Magesh, Senthil Raja D. Coefficient Estimates for Analytic Functions Subordinate to the Four-Leaf Domain. TJMCS. 2026 Jun. 1;18(2):504-25. doi:10.47000/tjmcs.1786554