output
20202025
most citedA bright millisecond-duration radio burst from a Galactic magnetar

745 citations

12 papers

math.GM2025

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

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 and nested radicals of kind , where 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…

math.GM2024★ 2 cited

A rational approximation of the two-term Machin-like formula for

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

In this work, we consider the properties of the two-term Machin-like formula and develop an algorithm for computing digits of by using its rational approximation. In this appro…

math.GM2023★ 3 cited

An iterative method for computing by argument reduction of the tangent function

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

In this work, we develop a new iterative method for computing the digits of by argument reduction of the tangent function. This method combines a modified version of the iterat…

math.GM2023★ 5 cited

A generalized series expansion of the arctangent function based on the enhanced midpoint integration

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

In this work we derive a generalized series expansion of the acrtangent function by using the enhanced midpoint integration (EMI). Algorithmic implementation of the generalized ser…

math.GM2022★ 2 cited

A two-domain MATLAB implementation for efficient computation of the Voigt/complex error function

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

In this work we develop a new algorithm for the efficient computation of the Voigt/complex error function. In particular, in this approach we propose a two-domain scheme where the…

math.GM2022

A method to reduce the Lehmer measure in a multi-term Machin-like formula for

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

Previously we have proposed a new method of transforming quotients into integer reciprocals in the Machin-like formulas for . As a further development, here we show how to gener…

math.GM2021★ 4 cited

Algorithmic determination of a large integer in the two-term Machin-like formula for pi

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

In our earlier publication we have shown how to compute by iteration a rational number in the two-term Machin-like formula for pi of kind $$\fracπ{4}=2^{k-1}\arctan\lef…

physics.ao-ph2021★ 2 cited

Effect of the instrument slit function on upwelling radiance from a wavelength dependent surface reflectance

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

The Radiance Enhancement (RE) method was introduced for efficient detection of clouds from the space. Recently, we have also reported that due to high reflectance of combustion-ori…

astro-ph.HE2020★ 9 cited

Scintillation of PSR B1508+55 -- the view from a 10,000-km baseline

V. R. Marthi, D. Simard, R. A. Main +6

We report on the simultaneous Giant Metrewave Radio Telescope (GMRT) and Algonquin Radio Observatory (ARO) observations at 550-750 MHz of the scintillation of PSR B1508+55, resulti…

astro-ph.HE2020★ 745 cited

A bright millisecond-duration radio burst from a Galactic magnetar

FRB Collaboration, B. C. Andersen, K. M. Bandura +68

Magnetars are highly magnetized young neutron stars that occasionally produce enormous bursts and flares of X-rays and gamma-rays. Of the approximately thirty magnetars currently k…

math.GM2020★ 5 cited

A rational approximation of the Fourier transform by integration with exponential decay multiplier

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

Recently we have reported a new method of rational approximation of the sinc function obtained by sampling and the Fourier transforms. However, this method requires a trigonometric…