R. Siddiqui

collaborators

3 papers

math.GM2026

A proof of irrationality of $I ¨ $ based on the nested radicals with roots of $2$

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

In this work, we prove the irrationality of $I ¨ $ based on the nested radicals with roots of $2$ of kind $c_{k} = 2 + c_{k - 1}$ and $c_{0} = 0$ . Sample computations showing how…

math.GM2025

Application of a new iterative formula for computing $I ¨ $ 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 $I ¨ $ and nested radicals of kind $c_{n} / 2 - c_{n - 1}$ , where $c_{0} = 0$ and $c_n = \sqrt{…

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 irrationality of I¨ based on the nested radicals with roots of 2

Application of a new iterative formula for computing I¨ and nested radicals with roots of 2

Efficient application of the Voigt functions in the Fourier transform

A proof of irrationality of $I ¨ $ based on the nested radicals with roots of $2$

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