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Identities involving the -Genocchi polynomials and -Zeta-type function
A. Bagdasaryan,E.Sen,Y.He,S. Araci,M. Acikgoz 장전수학회 2014 Advanced Studies in Contemporary Mathematics Vol.24 No.2
The fundamental objective of this paper is to obtain some interesting properties for (h,q)-Genocchi numbers and polynomials by using the fermionic p-adic q-integral on Zp and mentioned in the paper q-Bernstein polynomials. By applying the Mellin transformation to the generating function of (h,q)-Genochhi polynomials, we define (h,q)-Zeta-type function. Moreover, we derive symmetric properties of (h,q)-Zeta funtion and from these properties we give symmetric property of (h,q)-Genocchi polynomials.
Dharmawardane, K.V.,Kuhn, S.E.,Bosted, P.,Prok, Y.,Adams, G.,Ambrozewicz, P.,Anghinolfi, M.,Asryan, G.,Avakian, H.,Bagdasaryan, H.,Baillie, N.,Ball, J.P.,Baltzell, N.A.,Barrow, S.,Batourine, V.,Battag Elsevier 2006 Physics letters: B Vol.641 No.1
<P><B>Abstract</B></P><P>We report results for the virtual photon asymmetry <SUB>A1</SUB> on the nucleon from new Jefferson Lab measurements. The experiment, which used the CEBAF Large Acceptance Spectrometer and longitudinally polarized proton (NH315) and deuteron (ND315) targets, collected data with a longitudinally polarized electron beam at energies between 1.6 GeV and 5.7 GeV. In the present Letter, we concentrate on our results for <SUB>A1</SUB>(x,<SUP>Q2</SUP>) and the related ratio <SUB>g1</SUB>/<SUB>F1</SUB>(x,<SUP>Q2</SUP>) in the resonance and the deep inelastic regions for our lowest and highest beam energies, covering a range in momentum transfer <SUP>Q2</SUP> from 0.05 to 5.0<SUP>(GeV/c)2</SUP> and in final-state invariant mass <I>W</I> up to about 3 GeV. Our data show detailed structure in the resonance region, which leads to a strong <SUP>Q2</SUP>-dependence of <SUB>A1</SUB>(x,<SUP>Q2</SUP>) for <I>W</I> below 2 GeV. At higher <I>W</I>, a smooth approach to the scaling limit, established by earlier experiments, can be seen, but <SUB>A1</SUB>(x,<SUP>Q2</SUP>) is not strictly <SUP>Q2</SUP>-independent. We add significantly to the world data set at high <I>x</I>, up to x=0.6. Our data exceed the SU(6)-symmetric quark model expectation for both the proton and the deuteron while being consistent with a negative <I>d</I>-quark polarization up to our highest <I>x</I>. This data set should improve next-to-leading order (NLO) pQCD fits of the parton polarization distributions.</P>
Measurement of semi-inclusiveπ+electroproduction off the proton
Osipenko, M.,Ripani, M.,Ricco, G.,Avakian, H.,De Vita, R.,Adams, G.,Amaryan, M. J.,Ambrozewicz, P.,Anghinolfi, M.,Asryan, G.,Bagdasaryan, H.,Baillie, N.,Ball, J. P.,Baltzell, N. A.,Barrow, S.,Battagli American Physical Society 2009 PHYSICAL REVIEW D - Vol.80 No.3
Radiative decays of theΣ0(1385)andΛ(1520)hyperons
Taylor, S.,Mutchler, G. S.,Adams, G.,Ambrozewicz, P.,Anciant, E.,Anghinolfi, M.,Asavapibhop, B.,Asryan, G.,Audit, G.,Avakian, H.,Bagdasaryan, H.,Ball, J. P.,Barrow, S.,Batourine, V.,Battaglieri, M.,Be American Physical Society 2005 PHYSICAL REVIEW C - Vol.71 No.5
Moments of the spin structure functions g1p and g1d for 0.05<<sup>Q2</sup><3.0<sup> GeV2</sup>
Prok, Y.,Bosted, P.,Burkert, V.D.,Deur, A.,Dharmawardane, K.V.,Dodge, G.E.,Griffioen, K.A.,Kuhn, S.E.,Minehart, R.,Adams, G.,Amaryan, M.J.,Anghinolfi, M.,Asryan, G.,Audit, G.,Avakian, H.,Bagdasaryan, Elsevier 2009 Physics letters: B Vol.672 No.1
<P><B>Abstract</B></P><P>The spin structure functions <SUB>g1</SUB> for the proton and the deuteron have been measured over a wide kinematic range in <I>x</I> and <SUP>Q2</SUP> using 1.6 and 5.7 GeV longitudinally polarized electrons incident upon polarized NH<SUB>3</SUB> and ND<SUB>3</SUB> targets at Jefferson Lab. Scattered electrons were detected in the CEBAF Large Acceptance Spectrometer, for 0.05<<SUP>Q2</SUP><5<SUP> GeV2</SUP> and W<3 GeV. The first moments of <SUB>g1</SUB> for the proton and deuteron are presented – both have a negative slope at low <SUP>Q2</SUP>, as predicted by the extended Gerasimov–Drell–Hearn sum rule. The first extraction of the generalized forward spin polarizability of the proton γ0p is also reported. This quantity shows strong <SUP>Q2</SUP> dependence at low <SUP>Q2</SUP>. Our analysis of the <SUP>Q2</SUP> evolution of the first moment of <SUB>g1</SUB> shows agreement in leading order with Heavy Baryon Chiral Perturbation Theory. However, a significant discrepancy is observed between the γ0p data and Chiral Perturbation calculations for γ0p, even at the lowest <SUP>Q2</SUP>.</P>