Best bound for λ- pseudo starlike functions

Krishna, D. Vamshee; Shalini, D.

doi:10.31801/cfsuasmas.434997

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

2018

DOI: 10.31801/cfsuasmas.434997

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Best bound for λ- pseudo starlike functions

D. Vamshee Krishna¹,

D. Shalini²

Abstract: In this paper, we obtain sharp upper bound to the second Hankel determinant for the functions belong to the class of pseudo starlike functions, an interesting sub class of univalent functions de…ned in the open unit disc E = fz : jzj < 1g; using Toeplitz determinants.

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2024

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Some Classes of Bazilevič-Type Close-to-Convex Functions Involving a New Derivative Operator

Sabir,

Lupas,

Khalil

et al. 2024

Symmetry

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In the present paper, we are merging two interesting and well-known classes, namely those of Bazilevič and close-to-convex functions associated with a new derivative operator. We derive coefficient estimates for this broad category of analytic, univalent and bi-univalent functions and draw attention to the Fekete–Szegö inequalities relevant to functions defined within the open unit disk. Additionally, we identify several specific special cases of our results by specializing the parameters.

show abstract

Some Classes of Bazilevič-Type Close-to-Convex Functions Involving a New Derivative Operator

Sabir,

Lupas,

Khalil

et al. 2024

Symmetry

View full text Add to dashboard Cite

show abstract

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Best bound for λ- pseudo starlike functions

Abstract: In this paper, we obtain sharp upper bound to the second Hankel determinant for the functions belong to the class of pseudo starlike functions, an interesting sub class of univalent functions de…ned in the open unit disc E = fz : jzj < 1g; using Toeplitz determinants.

Cited by 1 publication

References 12 publications

Some Classes of Bazilevič-Type Close-to-Convex Functions Involving a New Derivative Operator

Some Classes of Bazilevič-Type Close-to-Convex Functions Involving a New Derivative Operator

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