Pradip Das

collaborators

10 papers

math.CV2026

Coefficient Problems and Sharp Determinant Estimates for the Class $P^{*}$

Pradip Das, Nabadwip Sarkar

We study coefficient problems for the class $P^{*}$ of normalized analytic functions $f$ in the unit disk satisfying the subordination condition \[ f'(z) \prec e^z(1+\sin…

math.CV2026

Sharp Bounds for Higher-Order Schippers Functionals Associated with Lune and Bean Domains

Firdoshi Parveen, Pradip Das

We obtain sharp bounds for the third- and fourth-order Schippers functionals, $∣ σ_{3} (f) (0) ∣$ and $∣ σ_{4} (f) (0) ∣$ , for subclasses of univalent functions associated with non-classical g…

math.CV2026

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…

math.CV2026

Second Hankel Determinant for $β$ -Spirallike Convex Mappings in Complex Banach Spaces

Molla Basir Ahamed, Nabadwip Sarkar, Pradip Das

We establish the bound for the second-order Hankel determinant $H_{2, 2} (F) = A_{2} A_{4} - A_{3}^{2}$ associated with the class $C_{B}^{β} (B)$ of normalized $β$ -spirallike…

math.CV2026

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…

math.CV2026

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 $σ_{3} (f) (0)$ and $σ_{4} (f) (0)$ for several subclasses of univalent and starlike functions in t…

Coefficient Problems and Sharp Determinant Estimates for the Class P∗

Sharp Bounds for Higher-Order Schippers Functionals Associated with Lune and Bean Domains

Sharp Hankel and Hermitian--Toeplitz Determinants Involving Logarithmic and Inverse Logarithmic Coefficients for the class \(\mathcal{S}_{car}^*\)

Second Hankel Determinant for β-Spirallike Convex Mappings in Complex Banach Spaces

Bohr-type inequalities with Fréchet derivative and Area terms in Complex Banach spaces

Higher-Order Schippers-Schwarzian Derivatives for Non-Circular Starlike Functions

Coefficient Problems and Sharp Determinant Estimates for the Class $P^{*}$

Second Hankel Determinant for $β$ -Spirallike Convex Mappings in Complex Banach Spaces