We build a framework for R(p,q)-deformed calculus, which provides a method of computation for deformed R(p,q)-derivative and integration, generalizing known deformed derivatives and integrations of analytic functions defined on a complex disc as particular cases corresponding to conveniently chosen meromorphic functions. Under prescribed conditions, we define the R(p,q)-derivative and integration. Relevant examples are also given.

Almar, R., Hounkonnou, N., Anthony, E., Castelle, B., Senechal, N., Laibi, R., Mensah-Senoo, T., Degbe, G., Quenum, M., Dorel, M., Chuchla, R., Lefebvre, J-P, du Penhoat, Y., Laryea, W.S., Zodehougan, G., Sohou, Z., and Appeaning Addo, K., Kestenare, E., 2014. The Grand Popo beach 2013 experiment, Benin, West Africa: from short timescale processes to their integrated impact over long-term coastal evolution. In: Green, A.N. and Cooper, J.A.G. (eds.), Proceedings 13th International Coastal Symposium (Durban, South Africa), Journal of Coastal Research, Special Issue No. 70, pp. 651–656, ISSN 0749-0208. The first large nearshore field experiment in the Gulf of Guinea was conducted at Grand Popo Beach, Benin, in February 2013, on an open wave-dominated micro- to meso-tidal coast, located mid-way between Cotonou and Lome harbours. The overall project aims at understanding at multi-scale (from event to interannual) the causes of the dramatic erosion observed throughout the Bight of Benin, and caused by ...

This paper addresses an $\mathcal{R}\left(p,q\right)$ -deformed conformal Virasoro algebra with an arbitrary conformal dimension Δ. Well-known deformations constructed in the literature are deduced as particular cases. Then, the special case of the conformal dimension Δ = 1 is elucidated for its interesting properties. The $\mathcal{R}\left(p,q\right)-$ KdV equation, associated with the deformed Virasoro algebra, is also derived and discussed. Finally, the (p, q)-deformed energy-momentum tensor, consistent with the central extension term, is computed and analyzed.

Energy–momentum tensors are investigated for the renormalizable noncommutative Grosse and Wulkenhaar scalar field theory. In the massless situation, the ordinary trick for recovering a traceless tensor reveals to be inefficient. However, a locally conserved non-symmetric energy–momentum tensor is provided making use of algebraic techniques. Broken dilatation symmetry is also discussed.