Pradip Das

collaborators

17 papers

math.CV2026

Directional Coefficient Inequalities for Strongly Starlike Mappings in Complex Banach Spaces

Pradip Das, Nabadwip Sarkar

We study a class of strongly starlike mappings of order $α$ on the open unit ball of a complex Banach space under a scalar-profile condition. Using a slice reduction along one-dime…

math.CV2026

Refined Bohr Inequalities and Bohr Radii Involving Schwarz Mappings for Holomorphic Functions in Banach Spaces and JB*-Triples

Nabadwip Sarkar, Pradip Das

In this paper, we investigate refined Bohr-type inequalities involving Schwarz mappings for holomorphic mappings defined on the unit ball $ B_X $ of a complex Banach space. We fi…

math.CV2026

Radii of Concavity for Subclasses of Univalent Functions Associated with the Exponential Mapping

Pradip Das, Nabadwip Sarkar

We determine the radii of concavity for the classes $S_{e}^{*}$ and $C_{e}$ of univalent functions associated with the exponential mapping $e^{z}$ . Under the geometric…

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

Hari M. Srivastava, 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…

math.CV2026

Sharp Estimates for Hankel, Fekete-Szegö and Zalcman Functionals for $S_{B}^{*} (α)$ 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 $α$ in the unit disk, we investigate the corresponding…

math.CV2026

On Hankel Determinants of $β$ -Spirallike Mappings in Complex Banach Spaces

Nabadwip Sarkar, Pradip Das

This paper is devoted to the study of the second Hankel determinant for normalized $β$ -spirallike mappings on the unit ball of a complex Banach space. Using the relationship betwee…

math.CV2026

Improved Bohr inequalities involving Fréchet derivatives associated with Holomorphic mappings in Banach spaces

Nabadwip Sarkar, Pradip Das

Motivated by recent advances in derivative Bohr inequalities and their refinements, we investigate the Bohr phenomenon for holomorphic mappings in complex Banach spaces associated…

math.CV2026

Hankel, Toeplitz, Hermitian--Toeplitz Determinants and the Zalcman Functional for a Class of Biholomorphic Mappings on Complex Banach Spaces

Nabadwip Sarkar, Pradip Das

In this paper, we investigate the second Hankel determinant, Toeplitz determinants, Hermitian--Toeplitz determinants and the generalized Zalcman functional for a class of normalize…

math.CV2026

Sharp coefficient Estimates for the class $S_{A P}^{*}$

Pradip Das, Nabadwip Sarkar

We investigate several classic coefficient problems for the Ma--Minda starlike subclass $S_{A P}^{*}$ defined by the apple-like subordination function $ψ_{\mathc…

math.CV2026

Inverse Logarithmic Coefficients and Associated Sharp Estimates for the Apple-Like Convex Subclass $C_{A P}$

Pradip Das, Nabadwip Sarkar

This paper addresses coefficient problems for the apple-like convex subclass $C_{A P}$ , defined by the subordination relation $1+zf''(z)/f'(z) \prec e^z\sqrt{1+z…

math.CV2026

Sharp Coefficient Estimates for the Exponential Starlike class $S_{e x}^{*}$

Pradip Das, Nabadwip Sarkar

Let $S_{e x}^{*}$ denote the class of normalized analytic functions $f$ in the unit disk satisfying \[ \frac{zf'(z)}{f(z)} \prec e^{αz},\qquad 0<α\le 1. \] We obtain sh…

math.CV2026

Inverse Logarithmic Coefficients, Differences, Hankel Determinant, and Fekete--Szegö Functionals for the Class $C_{e}$

Pradip Das, Nabadwip Sarkar

In this paper, we investigate the inverse logarithmic coefficients associated with the class $C_{e}$ of analytic and univalent functions satisfying the subordination condit…

Directional Coefficient Inequalities for Strongly Starlike Mappings in Complex Banach Spaces

Refined Bohr Inequalities and Bohr Radii Involving Schwarz Mappings for Holomorphic Functions in Banach Spaces and JB*-Triples

Radii of Concavity for Subclasses of Univalent Functions Associated with the Exponential Mapping

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

Sharp Estimates for Hankel, Fekete-Szegö and Zalcman Functionals for SB∗​(α) in Complex Banach Spaces

On Hankel Determinants of β-Spirallike Mappings in Complex Banach Spaces

Improved Bohr inequalities involving Fréchet derivatives associated with Holomorphic mappings in Banach spaces

Hankel, Toeplitz, Hermitian--Toeplitz Determinants and the Zalcman Functional for a Class of Biholomorphic Mappings on Complex Banach Spaces

Sharp coefficient Estimates for the class SAP∗​

Inverse Logarithmic Coefficients and Associated Sharp Estimates for the Apple-Like Convex Subclass CAP​

Sharp Coefficient Estimates for the Exponential Starlike class Sex∗​

Inverse Logarithmic Coefficients, Differences, Hankel Determinant, and Fekete--Szegö Functionals for the Class Ce​

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

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

Sharp Estimates for Hankel, Fekete-Szegö and Zalcman Functionals for $S_{B}^{*} (α)$ in Complex Banach Spaces

On Hankel Determinants of $β$ -Spirallike Mappings in Complex Banach Spaces

Sharp coefficient Estimates for the class $S_{A P}^{*}$

Inverse Logarithmic Coefficients and Associated Sharp Estimates for the Apple-Like Convex Subclass $C_{A P}$

Sharp Coefficient Estimates for the Exponential Starlike class $S_{e x}^{*}$

Inverse Logarithmic Coefficients, Differences, Hankel Determinant, and Fekete--Szegö Functionals for the Class $C_{e}$