Proceedings of the Edinburgh Mathematical Society

Research Article

Note on the Polynomials which satisfy the Differential Equation S0013091500035562_inline1

Neil M'Arthur

Laguerre has shown that if S0013091500035562_inline2 be expanded in ascending powers of t,

S0013091500035562_eqnU1

where fn(x) is a polynomial of degree n, satisfying the differential equation

S0013091500035562_eqnU2

(Received January 16 1919)

(Revised January 16 1919)