208,376 research outputs found
New identities involving q-Euler polynomials of higher order
In this paper we give new identities involving q-Euler polynomials of higher
order.Comment: 11 page
CRAB Cavity in CERN SPS
Beam collisions with a crossing angle at the interaction point have been
applied in high intensity colliders to reduce the effects of parasitic
collisions which induce emittance growth and beam lifetime deterioration. The
crossing angle causes the geometrical reduction of the luminosity. Crab cavity
can be one of the most promising ways to compensate the crossing angle and to
realize effective head-on collisions. Moreover, the crab crossing mitigates the
synchro-betatron resonances due to the crossing angle. Crab cavity experiment
in SPS is proposed for deciding on a full crab-cavity implementation in LHC. In
this paper, we investigate the effects of crab crossing on beam dynamics and
its life time with the global scheme.Comment: 3 pp. 1st International Particle Accelerator Conference: IPAC'10,
23-28 May 2010: Kyoto, Japa
A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp
The rapid development of q-calculus has led to the discovery of new
generalizations of Bernstein polynomials and Genocchi polynomials involving
q-integers. The present paper deals with weighted q-Bernstein polynomials and
q-Genocchi numbers with weight alpha and beta. We apply the method of
generating function and p-adic q-integral representation on Zp, which are
exploited to derive further classes of Bernstein polynomials and q-Genocchi
numbers and polynomials. To be more precise we summarize our results as
follows, we obtain some combinatorial relations between q-Genocchi numbers and
polynomials with weight alpha and beta. Furthermore, we derive an integral
representation of weighted q-Bernstein polynomials of degree n on Zp. Also we
deduce a fermionic p-adic q-integral representation of product weighted
q-Bernstein polynomials of different degrees n1,n2,...on Zp and show that it
can be written with q-Genocchi numbers with weight alpha and beta which yields
a deeper insight into the effectiveness of this type of generalizations. Our
new generating function possess a number of interesting properties which we
state in this paper.Comment: 10 page
Multivariate p-dic L-function
We construct multivariate p-adic L-function in the p-adic number fild by
using Washington method.Comment: 9 page
The use of lasers for hydrographic studies
The utilization of remote laser sensors in water pollution detection and identification, coastal environmental monitoring, and bathymetric depth sounding, is discussed. q
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