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Toeplitz determinants on bounded starlike circular domain in
Surya Giri, S. Sivaprasad Kumar
In this paper, we derive the sharp bounds of Toeplitz determinants for a class of holomorphic mappings on the bounded starlike circular domain in , which extend c…
Sharp Bounds of Fifth Coefficient and Hermitian-Toeplitz determinants for Sakaguchi Classes
Surya Giri, S. Sivaprasad Kumar
For the classes of analytic functions defined on the unit disk satisfying $$\frac{z {f}'(z)}{f(z) - f(-z)} \prec φ(z) \quad \text{and} \quad \frac{(2 z {f}'(z))'}{(f(z) - f(-z)…
Coefficient Functional and Bohr-Rogosinski Phenomenon for Analytic functions involving Semigroup Generators
Surya Giri, S. Sivaprasad Kumar
This paper examines the coefficient problems for the class of semigroup generators, a topic in complex dynamics that has recently been studied in context of geometric function theo…
Toeplitz Determinants in One and Higher Dimensions
Surya Giri, S. Sivaprasad Kumar
In this study, we derive the sharp bounds of certain Toeplitz determinants whose entries are the coefficients of holomorphic functions belonging to a class defined on the unit disk…
On a Class of certain Non-Univalent Functions
S. Sivaprasad Kumar, Pooja Yadav
In this paper, we introduce a family of analytic functions given by which maps univalently the unit disk onto either ellipt…
Sufficient conditions and radius problems for the Silverman class
S. Sivaprasad Kumar, Priyanka Goel
For and let \begin{equation}\label{1} G_{λ,α}=\left\{f\in\mathcal{A}:\left|\dfrac{1-α+αzf''(z)/f'(z)}{zf'(z)/f(z)}-(1-α)\right|<λ, z\in\mathbb{D}\right\}, \end{eq…