In this communique, we present a new family of Nussbaum functions expressed by Mittag–Leffler functions under certain conditions. © 2009 Elsevier Ltd. All rights reserved.

In this paper, we prove a result of Rost, which describes the cohomological invariants of central simple algebras of degree 4 with values in μ2 when the base field contains a square root of −1.

Contemporary research has proved that Mittag-Leffler function is the solution of fractional differential and integral equations. Fractional Calculus is rapidly gaining recognition as an important branch of Mathematical Sciences. In this paper, we study a newly defined Mittag-Leffler type E-function that unifies many special functions including some newly defined generalized trigonometric functi...

Working in an o-minimal expansion of the real field, we investigate when a germ (around 0 say) of a complex analytic function has a definable analytic continuation to its Mittag-Leffler star. As an application we show that any algebro-logarithmic function that is complex analytic in a neighbourhood of the origin in C has an analytic continuation to all but finitely many points in C. It is my pl...

of Regular and Chaotic oscillators A. S. Pikovsky, M. G. Rosenblum, M. A. Zaks, and J. Kurths Department of Physics, Potsdam University, Am Neuen Palais 19, PF 601553, D-14415, Potsdam, Germany, http://www.agnld.uni-potsdam.de 12.

V(D)J recombination is responsible for the de novo creation of antigen receptor genes in T- and B-cell precursors. To the extent that lymphopoiesis takes place throughout an animal's lifetime, recombination errors present an ongoing problem. One type of aberrant rearrangement ensues when DNA sequences resembling a V(D)J joining signal are targeted by mistake. This study investigates the type of...