We use an integral method to establish a number of Rogers-Ramanujan type identities involving double and triple sums. The key step for proving such is find some infinite products whose integrals over suitable contours are still products. used here motivated by Rosengren's proof the Kanade-Russell identities.

Rogers is one of humanism figure who views human as a tough and creative individual to develop him self. His educational background really influence the way he thought his theory. most famous theory was client centered. In theory, considered honored possessed super power within body. Therapist in this seen like real friend trying position without distance nor boundaries. This intended so that w...

Given the increased penetration of information technologies in private, domestic, public and working spaces and environments, the diffusion of these technologies becomes a very important issue to study. In general, theories of technological innovations analyse the mechanisms of socio-economic processes underlying diffusion (Rogers, 1983; Flichy, 1995; Valente, 1995). According to the pioneering...

This paper explores a model of “semantic cognition” first described in Rogers et al. (2004). This model was shown to reproduce the behaviour of neurological patients who perform poorly on a variety of tests of semantic knowledge; thus purporting to provide a comprehensive explanation for semantic deficits as found in patients with semantic dementia and, as extended in Lambon Ralph, Lowe, and Ro...

We provide a bijective map from the partitions enumerated by the series side of the Rogers-Selberg mod 7 identities onto partitions associated with a special case of Basil Gordon’s combinatorial generalization of the Rogers-Ramanujan identities. The implications of applying the same map to a special case of David Bressoud’s even modulus analog of Gordon’s theorem are also explored.

Copyright: © 2017 Rogers IM, This is an openaccess article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. *Corresponding author: Rogers IM, Anesthesiology, 46 Whitburn Road, Cleadon, Tyne and Wear SR67QS, Sunderland, UK, Tel: 01915367944; ...