745 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- York UniversityCA12 papers
- Canadian Institute for Advanced ResearchCA2 papers
- Canadian Institute for Theoretical AstrophysicsCA2 papers
- Max Planck Institute for Radio AstronomyDE2 papers
- Perimeter InstituteCA2 papers
- University of TorontoCA2 papers
- California Institute of TechnologyUS1 paper
- Massachusetts Institute of TechnologyUS1 paper
- McGill UniversityCA1 paper
- National Centre for Radio AstrophysicsIN1 paper
- National Radio Astronomy ObservatoryUS1 paper
- National Research Council CanadaCA1 paper
9 papers · 1 filter
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…
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 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…
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…
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…
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…
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…
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…
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…