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math.GM2025
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…
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…