In this paper, we prove two estimates useful in applications for the Fourier-Bessel transform in the space L p ( E + 2 , x 2 α 1 +1 dxdy ) , (1 < p ≤ 2), as applied to some classes of functions ...

For H. Exton's q-analogue of the Bessel function (going back to W. Hahn in a special case, but different from F. H. Jackson's q-Bessel functions) we derive Hansen-Lommel type orthogonality relations, ...