29 citations · 78 across the 18 of their papers we have counts for
4 papers · 1 filter
A rational approximation of the sinc function based on sampling and the Fourier transforms
S. M. Abrarov, B. M. Quine
In our previous publications we have introduced the cosine product-to-sum identity [17] $$ \prod\limits_{m = 1}^M {\cos \left( {\frac{t}{2^m}} \right)} = \frac{1}{2^{M - 1}}\sum\li…
A simple pseudo-Voigt/complex error function
S, M. Abrarov, B. M. Quine
In this work we present a simple approximation for the Voigt/comp-lex error function based on fitting with set of the exponential functions of form ${α_n}{\left| t \right|^n}{e^{ -…
A sampling-based approximation of the complex error function and its implementation without poles
S. M. Abrarov, B. M. Quine, R. K. Jagpal
Recently we developed a new sampling methodology based on incomplete cosine expansion of the sinc function and applied it in numerical integration in order to obtain a rational app…
Efficient computation of pi by the Newton - Raphson iteration and a two-term Machin-like formula
S. M. Abrarov, B. M. Quine
In our recent publication we have proposed a new methodology for determination of the two-term Machin-like formula for pi with small arguments of the arctangent function of kind $$…