25 papers
Coefficient Problems and Sharp Determinant Estimates for the Class
Pradip Das, Nabadwip Sarkar
We study coefficient problems for the class of normalized analytic functions in the unit disk satisfying the subordination condition \[ f'(z) \prec e^z(1+\sin…
Sharp Hankel and Hermitian--Toeplitz Determinants Involving Logarithmic and Inverse Logarithmic Coefficients for the class \(\mathcal{S}_{car}^*\)
Nabadwip Sarkar, Pradip Das
This paper focuses on coefficient problems for the class of starlike functions related to a cardioid region. We derive sharp bounds for the Hankel determinants of logarithmic coeff…
Second Hankel Determinant for -Spirallike Convex Mappings in Complex Banach Spaces
Molla Basir Ahamed, Nabadwip Sarkar, Pradip Das
We establish the bound for the second-order Hankel determinant associated with the class of normalized -spirallike…
Bohr-type inequalities with Fréchet derivative and Area terms in Complex Banach spaces
Nabadwip Sarkar, Pradip Das
We establish new Bohr-type inequalities for holomorphic mappings from the unit ball of a complex Banach space into the closed unit disk. Using Fréchet derivatives, Schwarz mappings…
Higher-Order Schippers-Schwarzian Derivatives for Non-Circular Starlike Functions
Pradip Das, Paweł Zaprawa, Nabadwip Sarkar
We find sharp upper bounds for the initial higher-order Schippers-Schwarzian derivatives and for several subclasses of univalent and starlike functions in t…
Sharp Estimates for Hankel, Fekete-Szegö and Zalcman Functionals for in Complex Banach Spaces
Nabadwip Sarkar, Pradip Das
Inspired by the sharp coefficient estimates established by Cho \emph{et al.}\cite{CKKLS2018} for starlike functions of order in the unit disk, we investigate the corresponding…