BOUND ON HANKEL DETERMINANTS H(2)4 (f) AND H(3)4 (f) FOR LEMNISCATE STARLIKE FUNCTIONS

Sushil Kumar; Pratima Rai; Asena Çetinkaya

호남수학회 호남수학학술지 BOUND ON HANKEL DETERMINANTS H⁽²⁾₄ (f) AND H⁽³⁾₄ (f) FOR LEMNISCATE STARLIKE FUNCTIONS

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BOUND ON HANKEL DETERMINANTS H⁽²⁾₄ (f) AND H⁽³⁾₄ (f) FOR LEMNISCATE STARLIKE FUNCTIONS

( Sushil Kumar ) , ( Pratima Rai ) , ( Asena Çetinkaya )

호남수학회 2023.03

호남수학학술지 vol. 45 iss. 1 92-108(17pages)

UCI I410-ECN-0102-2023-400-001116349

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Abstract

We determine the upper bounds on fourth order Hankel determinants H⁽²⁾₄ (f) and H⁽³⁾₄ (f) for the class S^*_L of lemniscate starlike functions defined on the open unit disk which was introduced by Sokół and Stankiewicz in [17].

Keywords

starlike functions

Lemniscate starlike function

coefficient estimates

third and fourth order Hankel determinants

Table of Contents

1. Preliminaries and the class S<sup>*</sup><sub>L</sub>
2. Bounds on H<sup>(2)</sup><sub>4</sub> (f) and H<sup>(3)</sup><sub>4</sub> (f)
Acknowledgement
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