The semantically nicest way to do this goes via the related functionality.
By default biblatex will then also show the title again (but that could be changed if desired).
\documentclass[british]{article}
\usepackage[T1]{fontenc}
\usepackage{babel}
\usepackage{csquotes}
\usepackage[backend=biber, style=alphabetic]{biblatex}
\begin{filecontents}{\jobname.bib}
@book{sneddon,
author = {Ian N. Sneddon},
title = {Fourier Transforms},
year = {1951},
publisher = {McGraw-Hill},
location = {New York},
related = {sneddon:reprint},
relatedtype = {reprint},
}
@book{sneddon:reprint,
author = {Ian N. Sneddon},
title = {Fourier Transforms},
year = {1995},
publisher = {Dover Publications},
location = {New York},
}
\end{filecontents}
\addbibresource{\jobname.bib}
\addbibresource{biblatex-examples.bib}
\begin{document}
Lorem \autocite{sigfridsson,sneddon}
\printbibliography
\end{document}

For a one-off it can be easier to just put these kind of things into the addendum field. Unlike the note field, addendum should appear close to the very end of the entry.
\documentclass[british]{article}
\usepackage[T1]{fontenc}
\usepackage{babel}
\usepackage{csquotes}
\usepackage[backend=biber, style=alphabetic]{biblatex}
\begin{filecontents}{\jobname.bib}
@book{sneddon,
author = {Ian N. Sneddon},
title = {Fourier Transforms},
year = {1951},
publisher = {McGraw-Hill},
location = {New York},
addendum = {Reprinted
New York: Dover Publications, 1995},
relatedtype = {reprint},
}
\end{filecontents}
\addbibresource{\jobname.bib}
\addbibresource{biblatex-examples.bib}
\begin{document}
Lorem \autocite{sigfridsson,sneddon}
\printbibliography
\end{document}
