In this paper, some monotoneity and concavity properties of the gamma, beta and psi functions are obtained, from which several asymptotically sharp inequalities ...

I SHOULD be greatly obliged if you could allow me a little of your valuable space to state that Dr. J. F. Tocher has kindly pointed out an error in my Introduction to ...

This is a preview. Log in through your library . Abstract We introduce a random walk in random environment associated to an underlying directed polymer model in 1 + 1 dimensions. This walk is the ...