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Fourier–Laplace transforms and orthogonal polynomials
Journal of Approximation Theory, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Fourier–Laplace convolution transforms
Integral Transforms and Special Functions, 2015In this paper, we introduce two classes of integral transforms related to two generalized convolutions for the Fourier cosine, Fourier sine and Laplace transforms. The Watson type theorem for these transforms is also obtained. As applications we apply these convolutions to solve some classes of integral and integro-differential equations.
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On Joint Fourier–Laplace Transforms
Communications in Statistics - Theory and Methods, 2010Weak convergence of random variables is characterized by pointwise convergence of the Fourier transform of the respective distributions, and in some cases can also be characterized through the Laplace transform. For some distributions, the Laplace transform is easier to compute and provides an alternative approach to the method of characteristic ...
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