Partha Pratim Roy

Sharp Bohr and Bohr-Rogosinski inequalities involving area measure for close-to-convex harmonic mappings

Molla Basir Ahamed, Partha Pratim Roy

In this article, we investigate refined and generalized versions of the Bohr and Bohr--Rogosinski inequalities for a normalized subclass $\mathcal{P}_{\mathcal{H}}^{0}(α)$ ($0 \le α< 1$) of univalent close-to-convex harmonic mappings $f = h + \overline{g}$ defined on the open unit disk $\mathbb{D} \subset …

Sharp Bohr–Rogosinski inequalities involving nonlinear area functionals

Molla Basir Ahamed, Partha Pratim Roy

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Hybrid feature fusion with deep learning framework for sEMG based airwriting recognition

Shivam Thakur, Pradeep Kumar, Pravendra Singh, Partha Pratim Roy

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Motor imagery classification in heterogeneous settings for brain-computer interface applications

Anushka Sharma, Partha Pratim Roy, Debasish Mishra, Omkar Mypati

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The third Hankel determinant for inverse coefficients of starlike functions of order 1/2

Molla Basir Ahamed, Partha Pratim Roy

in (code pays fourni par la source)

EmoXFormer: Human-Cognition-Inspired Multimodal Emotion Recognition from Disjoint Modality Datasets

Qurat Ul Ain Aisha, Ji-Hoon Choi, Se-In Choi, Partha Pratim Roy et autres

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The Bohr Phenomenon for Close-to-Convex Harmonic Mappings

Musthaq Ahamed, Partha Pratim Roy

The classical Bohr inequality states that if $f(z)=\sum_{n=0}^{\infty} a_n z^n$ is analytic and $|f(z)|<1$ in the unit disk $\mathbb{D}$, then $\sum_{n=0}^{\infty} |a_n| r^n \le 1$ for $|z|=r \le 1/3$, where $1/3$ is sharp. Extending this to harmonic mappings $f=h+\overline{g}$ is central in …

The Bohr Phenomenon for Close-to-Convex Harmonic Mappings

Molla Basir Ahamed, Partha Pratim Roy

The classical Bohr inequality states that if $f(z)=\sum_{n=0}^{\infty} a_n z^n$ is analytic and $|f(z)|<1$ in the unit disk $\mathbb{D}$, then $\sum_{n=0}^{\infty} |a_n| r^n \le 1$ for $|z|=r \le 1/3$, where $1/3$ is sharp. Extending this to harmonic mappings $f=h+\overline{g}$ is central in …

HeartBeatAI: An Interpretable and Robust Deep Learning Framework for Multi-Label ECG Arrhythmia Detection

Shubham Gupta, Nikhil Panwar, Partha Pratim Roy

While Deep Learning (DL) enhances automated electrocardiogram (ECG) analysis, clinical deployment is hindered by class imbalance and the generalization gap. This paper presents HeartBeatAI, a deep learning framework combining domain generalization, multi-scale feature aggregation, and clinical explainability for robust 12-lead ECG classification. …

HeartBeatAI: An Interpretable and Robust Deep Learning Framework for Multi-Label ECG Arrhythmia Detection

Shubham Gupta, Nikhil Panwar, Partha Pratim Roy

While Deep Learning (DL) enhances automated electrocardiogram (ECG) analysis, clinical deployment is hindered by class imbalance and the generalization gap. This paper presents HeartBeatAI, a deep learning framework combining domain generalization, multi-scale feature aggregation, and clinical explainability for robust 12-lead ECG classification. …

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Moduli difference of initial inverse logarithmic coefficients for starlike and convex functions

Molla Basir Aahmed, Partha Pratim Roy

Let $\mathcal{A}$ denote the class of functions $f$ that are analytic in the open unit disk $\mathbb{D}$ and satisfy the normalization conditions $f(0) = 0$ and $f'(0) = 1$. This paper investigates the inverse logarithmic coefficients $Γ_n$, which are defined by the …

Moduli difference of initial inverse logarithmic coefficients for starlike and convex functions

Molla Basir Aahmed, Partha Pratim Roy

Let $\mathcal{A}$ denote the class of functions $f$ that are analytic in the open unit disk $\mathbb{D}$ and satisfy the normalization conditions $f(0) = 0$ and $f'(0) = 1$. This paper investigates the inverse logarithmic coefficients $Γ_n$, which are defined by the …