This paper is mostly a survey, with a few new results. The first part deals with functional equations for q-exponentials, q-binomials and q-logarithms in q-commuting variables and more generally under q-Heisenberg relations. The second part discusses translation invariance of Jackson integrals, q-Fourier transforms and the braided line. Last modified: August 26, 1996 Note: Report No. 1, Institu...

Abstract In a recent paper, Saxena et al.[1] developed the solutions of three generalized fractional kinetic equations in terms of the Mittag-Leffler functions. The object of the present paper is to further derive the solution of further generalized fractional kinetic equations. The results are obtained in a compact form in terms of generalized Mittag-Leffler functions. Their relation to fundam...

We present progress results of a new survey for bright QSOs (V < 14.5, R < 15.4, BJ < 15.2) covering the whole sky at high galactic latitudes, |b| > 30. The surface density of QSOs brighter than BJ = 14.8 turns out to be 2.9 ± 0.8 · 10deg. The optical Luminosity Function at 0.04 < z ≤ 0.3 shows significant departures from the standard pure luminosity evolution, providing new insights in the mod...

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...