The chief aim of this note is to investigate directly the relation between the inverse factorial series
and the binomial coefficient series, or Newton's interpolation formula,
which may also represent Ω(x), the sum of the series (1).
(Received June 05 1924)
* Added August 10th, 1925.—Science Progress for July 1925 notes a paper by J. Horn, “Math. Zeitschrift” 21 (1924) 85.95, in whioh work on differential and difference equations, previously done with inverse factorial series, is carried out with binomial coefficient series. I have been unable to consult the paper itself to see what points in the connection between the two types of series are exemplified.