Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points

Wahid, Nur; Mohamad, Dzulkifli

doi:10.17576/jsm-2021-5012-23

JSM

2021

DOI: 10.17576/jsm-2021-5012-23

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Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points

Nur Wahid¹,

Dzulkifli Mohamad²

Abstract: menggunakan penentu-penentu Toeplitz ( ) 2 2 , T ( ) 3 2 T dan ( ) 3 1 . T Keputusan yang diperoleh mengitlak keputusan beberapa subkelas dalam kajian lepas. Kata kunci: Batas-batas pekali; fungsi bak bintang terhadap titik-titik konjugat; penentu Toeplitz

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2024

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Toeplitz Matrices for a Class of Bazilevič Functions and the λ-Pseudo-Starlike Functions

Wanas,

Sehen,

Páll-Szabó

2024

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In the present paper, we define and study a new family of holomorphic functions which involve the Bazilevič functions and the λ-pseudo-starlike functions. We establish coefficient estimates for the first four determinants of the symmetric Toeplitz matrices T2(2), T2(3), T3(1) and T3(2) for the functions in this family. Further, we investigate several special cases and consequences of our results.

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Toeplitz Matrices for a Class of Bazilevič Functions and the λ-Pseudo-Starlike Functions

Wanas,

Sehen,

Páll-Szabó

2024

Axioms

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Some properties of a new subclass of tilted star-like functions with respect to symmetric conjugate points

Mohamad¹,

Wahid²,

Fauzi

2023

MATH

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<abstract><p>In this paper, we introduced a new subclass $ S_{SC}^*\left({\alpha, \delta, A, B} \right) $ of tilted star-like functions with respect to symmetric conjugate points in an open unit disk and obtained some of its basic properties. The estimation of the Taylor-Maclaurin coefficients, the Hankel determinant, Fekete-Szegö inequality, and distortion and growth bounds for functions in this new subclass were investigated. A number of new or known results were presented to follow upon specializing in the parameters involved in our main results.</p></abstract>

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Toeplitz Determinant for a Subclass of Tilted Starlike Functions with Respect to Conjugate Points

Abstract: menggunakan penentu-penentu Toeplitz ( ) 2 2 , T ( ) 3 2 T dan ( ) 3 1 . T Keputusan yang diperoleh mengitlak keputusan beberapa subkelas dalam kajian lepas. Kata kunci: Batas-batas pekali; fungsi bak bintang terhadap titik-titik konjugat; penentu Toeplitz

Cited by 2 publications

References 8 publications

Toeplitz Matrices for a Class of Bazilevič Functions and the λ-Pseudo-Starlike Functions

Toeplitz Matrices for a Class of Bazilevič Functions and the λ-Pseudo-Starlike Functions

Some properties of a new subclass of tilted star-like functions with respect to symmetric conjugate points

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