R. Jagpal

activity

20122025

most citedA sampling-based approximation of the complex error function and its implementation without poles

20 citations · 61 across the 21 of their papers we have counts for

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3 papers · 1 filter

math.GM2025

A proof of the irrationality of $π$ motivated by nested radicals with roots of $2$

Sanjar M. Abrarov, Rehan Siddiqui, Rajinder Kumar Jagpal +1

In this work, we prove the irrationality of $π$ motivated by nested radicals with roots of $2$ of the kind $c_{k} = 2 + c_{k - 1}$ and $c_{0} = 0$ . Sample computations showing h…

math.GM2025

Application of a new iterative formula for computing $π$ and nested radicals with roots of $2$

Sanjar M. Abrarov, Rehan Siddiqui, Rajinder Kumar Jagpal +1

In this work, we obtain an iterative formula that can be used for computing digits of $π$ and nested radicals of kind $c_{n} / 2 - c_{n - 1}$ , where $c_{0} = 0$ and $c_n = \sqrt{2…

math.GM2025

Efficient application of the Voigt functions in the Fourier transform

Sanjar M. Abrarov, Rehan Siddiqui, Rajinder K. Jagpal +1

In this work, we develop a method for rational approximation of the Fourier transform (FT) based on the real and imaginary parts of the complex error function \[ w(z) = e^{-z^2}(1…

A proof of the irrationality of π motivated by nested radicals with roots of 2

Application of a new iterative formula for computing π and nested radicals with roots of 2

Efficient application of the Voigt functions in the Fourier transform

A proof of the irrationality of $π$ motivated by nested radicals with roots of $2$

Application of a new iterative formula for computing $π$ and nested radicals with roots of $2$