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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…
Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions
Surya Giri, S. Sivaprasad Kumar
In this paper, we establish the sharp bounds of certain Toeplitz determinants formed over the coefficients of mappings from a class defined on the unit ball of complex Banach space…
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…
Radius and Convolution problems of analytic functions involving Semigroup Generators
Surya Giri, S. Sivaprasad Kumar
We establish the membership criteria in terms of Hadamard product for a normalized analytic function to be in the class of infinitesimal generators. Furthermore, the embedding of v…
Hermitian-Toeplitz determinants for certain univalent functions
Surya Giri, S. Sivaprasad Kumar
Sharp upper and lower bounds for the second and third order Hermitian-Toepilitz determinants are obtained for some generalized subclasses of starlike and convex functions. Applicat…
Sharp Estimate of Fifth Coefficient for Ma Minda Starlike and Convex Functions
Surya Giri, S. Sivaprasad Kumar
\noindent In the present investigation, we find the sharp bound of fifth coefficient of analytic normalized function satisfying when coefficients of $…