Let b: R+ ¿ R+ be an O-regularly varying function. In this paper we are concerned with the class of functions L for which there exists a function a: R+ ¿ R such that L(tx) - L(x) - a(x) log(t) = O(b(x)) as x ¿ 8 for t > 0. We also discuss Abel-Tauber-Mercer theorems for a class of integral transforms of these functions.
|Journal||Journal of the London Mathematical Society. Second Series|
|Publication status||Published - 1988|