Výsledky vyhledávání - "THOMAS, D. K."

Akademický článek

Coefficient Estimates for Starlike and Convex Functions Related to Sigmoid Functions.

Autor: Raza, M.¹ (AUTHOR) mohsan976@yahoo.com, Thomas, D. K.² (AUTHOR), Riaz, A.³ (AUTHOR)

Publikováno v: Ukrainian Mathematical Journal. Oct2023, Vol. 75 Issue 5, p782-799. 18p.

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Toeplitz determinants whose elements are the coefficients of univalent functions

Autor: Ali, Md Firoz, Thomas, D. K., Vasudevarao, A.

Let $\mathcal{S}$ denote the class of analytic and univalent functions in $\mathbb{D}:=\{z\in\mathbb{C}:\, |z|<1\}$ of the form $f(z)= z+\sum_{n=2}^{\infty}a_n z^n$. In this paper, we determine sharp estimates for the Toeplitz determinants whose elem

Externí odkaz: http://arxiv.org/abs/1704.00657

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Logarithmic coefficients of close-to-convex functions

Autor: Ali, Md Firoz, Thomas, D. K., Vasudevarao, A.

For an analytic and univalent function $f$ in the unit disk $\mathbb{D}:=\{z\in\mathbb{C}:|z|<1\}$ with the normalization $f(0)=0=f'(0)-1$, the logarithmic coefficients $\gamma_n$ are defined by $\log \frac{f(z)}{z}= 2\sum_{n=1}^{\infty} \gamma_n z^n

Externí odkaz: http://arxiv.org/abs/1608.07520

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On the Logarithmic Coefficients of Close to Convex Functions

Autor: Thomas, D. K.

For $f$ analytic and close to convex in $D=\{z: |z|< 1\}$, we give sharp estimates for the logarithmic coefficients $\gamma_{n}$ of $f$ defined by $\log \dfrac{f(z)}{z}=2\sum_{n=1}^{\infty} \gamma_{n}z^{n}$ when $n=1, 2,3$.
Comment: Proceedings

Externí odkaz: http://arxiv.org/abs/1509.08911

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The Second Hankel Determinant for Starlike Functions of Order Alpha

Autor: Thomas, D. K.

Let f be analytic in D={z:|z|<1} with f(0)=0 and f'(0)=1. We give sharp bounds for the second Hankel determinant of f, when f is starlike of order alpha in D.

Externí odkaz: http://arxiv.org/abs/1508.05839

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