Normal Coordinates in Dynamical Systems
T. J. I’A. Bromwich · Proceedings of the London Mathematical Society · 1917
In accordance with recent practice, the symbol 0(1/A 3 ) is used to denote a function of A, which is of order I/A 3 , when | A | is large ; more precisely, if the function is multiplied by A 3 , the product remains finite, when | A | tends to infinity.t Note that the order of the suffixes is reversed, intentionally, in F rs and A, r : in problems for which A r , = A, r , the order of the two suffixes is immaterial.' " I [Routh, I.e., Art.373].(2D-l)x + D*y = 0* Because all the poles of the integrands lie within this path of integration : and so the path can be extended as far out as we please, in virtue of Cauchy's theorem.