5 citations · 8 across the 7 of their papers we have counts for
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Fourier Transform of some irrational integrands
Bernard J. Laurenzi
Fourier sine transforms containing irrational integrands are presented. Explicit closed form expressions are shown to be related to Lommel functions and in special cases to the Fre…
A Generalization of Fourier Series occurring in Atomic Theory
Bernard J. Laurenzi
A number of the Fourier Series which occur in the theory of the semi-classical atom due to Englert and Schwinger are generalized and presented.
Special values of the Lommel functions and associated integrals
Bernard J. Laurenzi
Special values of the Lommel functions allow the calculation of Fresnel like integrals. These closed form expressions along with their asymptotic values are reported.
Integrals containing the logarithm of the Airy Function Ai'(x)
Bernard J. Laurenzi
Integrals occurring in Thomas-Fermi theory which contains the logarithm of the Airy function Ai'(x) have been obtained in terms of analytical expressions.