1 citations · 1 across the 16 of their papers we have counts for
17 papers
Toeplitz determinant and generalized Zalcman conjecture for subclasses of starlike mappings in higher dimensions
Surya Giri
In this manuscript, we establish sharp bounds of the third-order Toeplitz determinant and a particular case of the generalized Zalcman functional for a class of holomorphic mapping…
Third-Order Toeplitz Determinant for a Subclass of Starlike Mappings in Higher Dimensions
Surya Giri
The manuscript establishes sharp bound of the third-order Toeplitz determinant for a subclass of starlike mappings defined on the unit ball in a complex Banach space and on bounded…
Generalized Zalcman Conjecture for Starlike Mappings in Several Complex Variables
Surya Giri
Generalizing the Zalcman conjecture given by , Ma proposed and proved that the inequality $$\vert a_n a_m-a_{n+m-1}\vert \leq (n-1)(m-1),…
Zalcman Conjecture for Starlike Mappings in Higher Dimensions
Surya Giri
Counterexamples show that many results in the geometric function theory of one complex variable are not applicable for several complex variables. In this paper, we obtain sharp bou…
Second-Order Toeplitz Determinant for Quasi-Convex Mappings
Surya Giri
This paper presents sharp estimates for the second-order Toeplitz determinant whose entries are the coefficients of convex functions defined on the unit disk in . These…
Generalized Toeplitz determinants for Starlike Mappings in Several Complex Variables
Surya Giri, S. Sivaprasad Kumar
This paper establishes sharp bounds for the second and third-order Toeplitz determinants associated with starlike functions in the unit disk such that has a zero of or…
Toeplitz Determinants for Inverse Functions and their Logarithmic Coefficients Associated with Ma-Minda Classes
Surya Giri
The classes of analytic univalent functions on the unit disk defined by and $$ \mathcal{C}(…
Starlike Functions Associated with a Non-Convex Domain
S. Sivaprasad Kumar, Surya Giri
We introduce and study a class of starlike functions associated with the non-convex domain \[ \mathcal{S}^*_{nc} = \left\{ f \in \mathcal{A} : \frac{z f'(z)}{f(z)} \prec \frac{1+z}…
Toeplitz determinants of Logarithmic coefficients for Starlike and Convex functions
Surya Giri, S. Sivaprasad Kumar
In this study, we deal with the sharp bounds of certain Toeplitz determinants whose entries are the logarithmic coefficients of analytic univalent functions such that the quant…
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 $…