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...