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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…