  Podolsky and Pauling (Phys. Rev. \textbf{34}, 109 - 116 (1929)) were the
first ones to derive an explicit expression for the Fourier transform of a
bound-state hydrogen eigenfunction. Y\"{u}k\c{c}\"{u} and Y\"{u}k\c{c}\"{u},
who were apparently unaware of the work of Podolsky and Pauling or of the
numerous other earlier references on this Fourier transform, proceeded
differently. They expressed a generalized Laguerre polynomial as a finite sum
of powers, or equivalently, they expressed a bound-state hydrogen eigenfunction
as a finite sum of Slater-type functions. This approach looks very simple, but
it leads to comparatively complicated expressions that cannot match the
simplicity of the classic result obtained by Podolsky and Pauling. It is,
however, possible to reproduce not only the Podolsky and Pauling formula for
the bound-state hydrogen eigenfunction, but to obtain results of similar
quality also for the Fourier transforms of other, closely related functions
such as Sturmians, Lambda functions or Guseinov's functions by expanding
generalized Laguerre polynomials in terms of so-called reduced Bessel
functions.
