A logarithm is the power which a certain number is raised to get another number. Before calculators and various types of complex computers were invented it was difficult for scientists and ...

Let {Sn, n ≥ 1} be a zero, mean square integrable martingale for which $\lim_{n\to\infty}ES_{n}^{2}<\infty$ so that Sn → S∞, a.s., say, by the martingale convergence theorem. The paper is principally ...

This is a preview. Log in through your library . Abstract We introduce a new class of sequences of the form ${\mu _n} = \sum\limits_{k = 1}^n {\frac{1}{k} + \ln ({e^{a/(n + b)}}} - 1) - \ln a$ which ...