27 citations · 236 across the 52 of their papers we have counts for
30 papers · 1 filter
A proof of the irrationality of motivated by nested radicals with roots of
Sanjar M. Abrarov, Rehan Siddiqui, Rajinder Kumar Jagpal +1
In this work, we prove the irrationality of motivated by nested radicals with roots of of the kind and . Sample computations showing h…
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…