The DE-Sinc formulas, resulting from a combination of the Sine approximation formula with the double exponential (DE) transformation, provide a highly efficient method for function approximation. In ...
Function approximation, a central theme in numerical analysis and applied mathematics, seeks to represent complex functions through simpler or more computationally tractable forms. In this context, ...
This report presents near-minimax rational approximations for the Bickley functions $Ki_1(x)$ for $x \geqslant 0, Ki_2(x)$ and $Ki_3(x)$ for $0 \leqslant x \leqslant ...
Matrix functions, such as the exponential, square root and cosine, play an indispensable role in various fields including quantum mechanics, control theory and numerical solution of differential ...
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