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20232026
most citedOn the convexity of Berezin range and Berezin radius inequalities via a class of semi-norms

1 citations · 1 across the 10 of their papers we have counts for

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math.NT2025

Products of Tribonacci Numbers that are the Products of Factorials

Pranabesh Das, J. C. Saunders

In 2014 Marques and Lengyel gave all of the solutions to the equation , where is the th term of the Tribonacci sequence . In 2023 Alahmad…

q-fin.ST2025

Noise estimation of SDE from a single data trajectory

Munawar Ali, Purba Das, Qi Feng +2

In this paper, we propose a data-driven framework for model discovery of stochastic differential equations (SDEs) from a single trajectory, without requiring the ergodicity or stat…

math.NT2025

Repdigits as Product of Consecutive Shifted Tribonacci Numbers

Pranabesh Das, Salah Eddine Rihane, Alain Togbé

A repdigit is a positive integer that has only one distinct digit in its decimal expansion, i.e., a number has the form for some and . Let…

math.FA2025★ 1 cited

On the convexity of Berezin range and Berezin radius inequalities via a class of semi-norms

Athul Augustine, P. Hiran Das, Pintu Bhunia +1

This paper introduces a new family of semi-norms, say -Berezin norm on the space of all bounded linear operators defined on a reproducing kernel Hilbert space…

math.PR2025

A rough path approach to pathwise stochastic integration à la Föllmer

Purba Das, Anna P. Kwossek, David J. Prömel

We develop a general framework for pathwise stochastic integration that extends Föllmer's classical approach beyond gradient-type integrands and standard left-point Riemann sums an…

math.NT2025

On Pell numbers representable as product of two generalized Fibonacci numbers

Jhon J. Bravo, Pranabesh Das, Jose L. Herrera +1

A generalization of the well-known Fibonacci sequence is the -Fibonacci sequence with some fixed integer . The first terms of this sequence are , and…

math.PR2025

Self-normalized scaled quadratic variation

Suprio Bhar, Purba Das, Barun Sarkar

The concept of a scaled quadratic variation was originally introduced by E. Gladyshev in 1961 for processes with Gaussian increments. Using certain deterministic scaling, arrived a…

math.CO2025

A Note On Rainbow 4-Term Arithmetic Progression

Subhajit Jana, Pratulananda Das

Let [n]=\{1,\,2,...,\,n\} be colored in k colors. A rainbow AP(k) in [n] is a k term arithmetic progression whose elements have diferent colors. Conlon, Jungic and Radoicic [10] ha…