Abstract. We consider certain probability problems which are naturally related to integer partitions. We show that the corresponding probabilities are values of classical modular forms. Thanks to this connection, we then show that certain ratios of probabilities are specializations of the Rogers-Ramanujan, and RamanujanSelbergGordon-Göllnitz continued fractions. One particular evaluation depend...

In this paper we generalize some results of fixed point theory to partial metric spaces by using methods in the context a new extension Ekeland?s variational principle. We provide corollaries unify our with other existing literature along same vein. Then, show that require existence assumptions weaker than those for well-known contractive maps, including ones sense Banach, Ciric, Song, Kannan a...

In 1933 Weber and Engelhardt reported the first case of acute pneumonitis due to beryllium poisoning. Other instances of the acute reaction to beryllium salts were described by Van Ordstrand, Hughes, DeNardi, and Carmody (1945). Hardy and Tabershaw (1946) gave details of the chronic or delayed form of the disease, and DeNardi, Van Ordstrand, Curtis, and Zielinski (1953) published a review of 46...