866 research outputs found
The Lamb-Bateman integral equation and the fractional derivatives
The Lamb-Bateman integral equation was introduced to study the solitary wave
diffraction and its solution was written in terms of an integral transform. We
prove that it is essentially the Abel integral equation and its solution can be
obtained using the formalism of fractional calculus.Comment: 3 pages; revised version (misprints corrected, acknowledgements
added
Comment on ``Proton Polarization Shifts in Electronic and Muonic Hydrogen''
We demonstrate that criticisms concerning our work nucl-th/9704043, made in
the recent preprint hep-ph/9903352, are unfounded. The improvements over our
results claimed in hep-ph/9903352 are in fact spurious, being based mainly on
misunderstandings and on dubious theoretical models.Comment: 3 pages, latex, no figures, corrected style of references in abstrac
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