TAUBERIAN-THEOREMS FOR SEQUENCES LINKED BY A CONVOLUTION

Given sequences g, lambda : IN0 --> C, g(0) = 1, linked by the convolu tion lambda g = g' (g'(n) : = (n + l)g(n + 1)) we study what can be inferred about lambda (n --> infinity) from some concrete information about the behaviour of g (n --> infinity).