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A Unified Generating Function of the q-Genocchi Polynomials with their Interpolation Functions
Genocchi numbers and polynomials q-Genocchi numbers and polynomials Number Theory
2011/9/23
Abstract: The purpose of this paper is to construct of the unification q-extension Genocchi polynomials. We give some interesting relations of this type of polynomials. Finally, we derive the q-extens...
Computing a Function of Correlated Sources
Function of Correlated Sources Information Theory
2011/9/22
Abstract: A receiver wants to compute a function f of two correlated sources X and Y and side information Z. What is the minimum number of bits that needs to be communicated by each transmitter? In th...
Weight function in a bimaterial strip containing an interfacial crack and an imperfect interface. Application to Bloch-Floquet analysis in a thin inhomogeneous structure with cracks
Bloch-Floquet waves boundary layer crack imperfect interface weight function
2011/9/22
Abstract: We define a weight function in a bi-material strip containing a semi-infinite crack and an imperfect interface and analyse a problem of anti-plane shear. We then present an asymptotic algori...
Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
The six-vertex model Open spin chain Partition function
2011/9/22
Abstract: With the help of the F-basis provided by the Drinfeld twist or factorizing F-matrix for the open XXZ spin chain with non-diagonal boundary terms, we obtain the determinant representation of ...
Random Walk on a Co-Compact Fuchsian Group: Behavior of the Green's Function at the Spectral Radius
hyperbolic group surface group randomwalk Green’s function Gromov boundary Martin boundary Ruelle operator theorem
2011/9/22
Abstract: It is proved that the Green's function of a symmetric finite range random walk on a co-compact Fuchsian group decays exponentially in distance at the radius of convergence R. It is also show...
Practical Data Correlation of Flashpoints of Binary Mixtures by a Reciprocal Function: The Concept and Numerical Examples
Flashpoint binary mixtures reciprocal function data approximation
2011/8/11
Abstract: Simple data correlation of flashpoint data of binary mixture has been developed on a basic of rational reciprocal function. The new approximation requires has only two coefficients and needs...
Jacob's ladders and the three-points interaction of the Riemann zeta-function with itself
Riemann zeta-function Jacob's ladders Classical Analysis and ODEs
2011/9/21
Abstract: It is proved that some set of the values of $|\zeta(\sigma_0+i\vp_1(t))|^2$ on every fixed line $\sigma=\sigma_0>1$ generates a corresponding set of the values of $|\zeta(\frac 12+it)|^2$ on...
Some bounds and limits in the theory of Riemann's zeta function
bounds and limits theory of Riemann's zeta function Number Theory
2011/9/21
Abstract: For any real a>0 we determine the supremum of the real \sigma\ such that \zeta(\sigma+it) = a for some real t. For 0 < a < 1, a = 1, and a > 1 the results turn out to be quite different.}
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The Mobius function of generalized subword order
Chebyshev polynomial discrete Morse theory homotopy type minimal skipped interval Mobius function
2011/9/20
Abstract: Let P be a poset and let P* be the set of all finite length words over P. Generalized subword order is the partial order on P* obtained by letting u \le w if and only if there is a subword u...
On the Fermi Function of Squeezed Coherent States
Fermi Function Squeezed Coherent States Quantum Physics
2011/10/9
Abstract: Fermi observed in 1930 that the state of a quantum system may be defined in two different (but equivalent) ways, namely by its wavefunction $\Psi$ or by a certain function $g_F$ on phase spa...
Dust driven mass loss from carbon stars as function of stellar parameters - II. Effects of grain size on wind properties
AGB and post-AGB – Stars: atmospheres – Stars: carbon – Stars: circumstellar matter – Stars: evolution – Stars: mass loss –2 Hydrodynamics – Radiative transfer
2011/9/30
In this paper we explore grain size effects on wind properties of carbon stars, using a generalized description of radiative cross sections valid for particles of arbitrary sizes. The purpose of the s...
The mass function of black holes at 1comparison of models with observations
mass function black holes comparison models observations
2011/10/19
In this paper, we compare the observationally derived black hole mass function (BHMF) of luminous broad-line quasars (BLQSOs) at 1wn from the Sloan Digital Sky Survey (SDSS) presented in Kel...
Ekeland's Variational Principle for An $\bar{L}^{0}-$Valued Function on A Complete Random Metric Space
Random metric space random normed module L0− valued function lower semicontinuity Ekeland’s variational principle
2011/9/20
Abstract: Motivated by the recent work on conditional risk measures, this paper studies the Ekeland's variational principle for a proper, lower semicontinuous and lower bounded $\bar{L}^{0}-$valued fu...
An Algorithm to Generate Square-Free Numbers and to Compute the Moebius Function
Mobius function square-free numbers zeta function Riemann hypothesis
2011/9/19
Abstract: We introduce an algorithm that iteratively produces a sequence of natural numbers k_i and functions b_i. The number k_(i+1) arises as the first point of discontinuity of b_i above k_i. We de...
Searching for initial mass function variations in resolved stellar populations
Searching function variations resolved stellar populations
2011/10/13
The initial mass function (IMF) succinctly characterizes a stellar population, provides a statistical measure of the end result of the star-formation process, and informs our under- standing of the st...