Deformed Complex Hermite Polynomials [PDF]
We study a class of bivariate deformed Hermite polynomials and some of their properties using classical analytic techniques and the Wigner map. We also prove the positivity of certain determinants formed by the deformed polynomials. Along the way we also
Ali, S. Twareque +2 more
core
Orthogonal Polynomials, Asymptotics and Heun Equations
The Painlev\'{e} equations arise from the study of Hankel determinants generated by moment matrices, whose weights are expressed as the product of ``classical" weights multiplied by suitable ``deformation factors", usually dependent on a ``time variable''
Abramowitz M. +13 more
core +1 more source
On factorization of q-difference equation for continuous q-Hermite polynomials
We argue that a customary q-difference equation for the continuous q-Hermite polynomials H_n(x|q) can be written in the factorized form as (D_q^2 - 1)H_n(x|q)=(q^{-n}-1)H_n(x|q), where D_q is some explicitly known q-difference operator.
A U Klimyk +14 more
core +1 more source
The q-harmonic oscillator and an analog of the Charlier polynomials
A model of a q-harmonic oscillator based on q-Charlier polynomials of Al-Salam and Carlitz is discussed. Simple explicit realization of q-creation and q-annihilation operators, q-coherent states and an analog of the Fourier transformation are found.
+25 more
core +2 more sources
SmeftFR -- Feynman rules generator for the Standard Model Effective Field Theory
We present SmeftFR, a Mathematica package designed to generate the Feynman rules for the Standard Model Effective Field Theory (SMEFT) including the complete set of gauge invariant operators up to dimension~6.
Dedes, A. +4 more
core +2 more sources
3G telecommunication technology in Malaysia [PDF]
3G is the third generation of mobile phone standards and technology, after 2G. It is based on the International Telecommunication Union (ITU) family of standards under the International Mobile Telecommunications programme, "IMT- 2000". 3G technologies
Arifin, Mohd. Ariff +1 more
core
Decay of Correlations in Fermi Systems at Non-zero Temperature
The locality of correlation functions is considered for Fermi systems at non-zero temperature. We show that for all short-range, lattice Hamiltonians, the correlation function of any two fermionic operators decays exponentially with a correlation length ...
E. Lieb +3 more
core +1 more source
Family of solvable generalized random-matrix ensembles with unitary symmetry
We construct a very general family of characteristic functions describing Random Matrix Ensembles (RME) having a global unitary invariance, and containing an arbitrary, one-variable probability measure which we characterize by a `spread function ...
A. D. Stone +9 more
core +1 more source
Heuristic computational approach for nonlinear reaction-diffusion kinetics in catalytic systems. [PDF]
Jamshed S +5 more
europepmc +1 more source
Ultrasound guidance versus conventional technique for radial arterial puncture in patients with shock in the emergency department: a randomized controlled trial. [PDF]
Ersahin DA +3 more
europepmc +1 more source

