No CrossRef data available.
Published online by Cambridge University Press: 20 January 2009
Let f(x) and F(x) be polynomials which are supposed to be decomposed into a series of n terms as

Further let θ be a distributive operation and φ(x) be a given function. Then the functional equation

has a solution of the form

where yν (x) (ν = 1, 2, … n) is the solution of the equation

Proc. Edinburgh Math. Soc., XLII (1924), 95–103.
* The demonstration of the equation (2), with certain results belonging to the calculus of differences are given by the author in the paper, “O redukol
, Casopis, 54, Praha (in the press).