Results 21 to 30 of about 1,056 (198)

Liquid-vapor equilibrium and evaporation rate of Cd-Zn liquid alloy [PDF]

Journal of Mining and Metallurgy. Section B: Metallurgy, 2021
In this study, LVE (liquid-vapor equilibrium) data of cadmium-zinc system were determined at a pressure of 7.5 Pa. We compare the use of the Redlich-Kister polynomials with the Wilson equation in fitting activities.
Zhao W.-C., Xu B.-Q., Yang H.-W.
doaj   +1 more source

The Associated Askey-Wilson Polynomials [PDF]

Transactions of the American Mathematical Society, 1991
The most general system of basic hypergeometric orthogonal polynomials are the Askey-Wilson polynomials, which are given as a basic hypergeometric series \(_ 4\Phi_ 3\). Like all orthogonal polynomials they satisfy a three-term recurrence relation \[ 2xp_ n(x)=A_ np_{n+1}(x)+B_ np_ n(x)+C_ np_{n-1}(x). \] The recurrence coefficients \(A_ n\), \(B_ n\),
Ismail, Mourad E. H., Rahman, Mizan
openaire   +1 more source

Jacobi Ensemble, Hurwitz Numbers and Wilson Polynomials [PDF]

Letters in Mathematical Physics, 2021
AbstractWe express the topological expansion of the Jacobi Unitary Ensemble in terms of triple monotone Hurwitz numbers. This completes the combinatorial interpretation of the topological expansion of the classical unitary invariant matrix ensembles.
Gisonni, M., Grava, T., Ruzza, G.
openaire   +5 more sources

Defect and degree of the Alexander polynomial

European Physical Journal C: Particles and Fields, 2022
Defect characterizes the depth of factorization of terms in differential (cyclotomic) expansions of knot polynomials, i.e. of the non-perturbative Wilson averages in the Chern-Simons theory.
E. Lanina, A. Morozov
doaj   +1 more source

Properties of the є-expansion, Lagrange inversion and associahedra and the O (1) model

Journal of High Energy Physics, 2020
We discuss properties of the є-expansion in d = 4 − є dimensions. Using Lagrange inversion we write down an exact expression for the value of the Wilson-Fisher fixed point coupling order by order in є in terms of the beta function coefficients.
Thomas A. Ryttov
doaj   +1 more source

A generalization of Mehta-Wang determinant and Askey-Wilson polynomials [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
Motivated by the Gaussian symplectic ensemble, Mehta and Wang evaluated the $n×n$ determinant $\det ((a+j-i)Γ (b+j+i))$ in 2000. When $a=0$, Ciucu and Krattenthaler computed the associated Pfaffian $\mathrm{Pf}((j-i)Γ (b+j+i))$ with an application to the
Victor J. W. Guo, Masao Ishikawa, Hiroyuki Tagawa, Jiang Zeng   +3 more
doaj   +1 more source

Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure

Nuclear Physics B, 2022
We have recently proposed [1] a powerful method for computing group factors of the perturbative series expansion of the Wilson loop in the Chern-Simons theory with SU(N) gauge group.
E. Lanina, A. Sleptsov, N. Tselousov
doaj   +1 more source

Efficient algorithms for construction of recurrence relations for the expansion and connection coefficients in series of quantum classical orthogonal polynomials

Journal of Advanced Research, 2010
Formulae expressing explicitly the q-difference derivatives and the moments of the polynomials Pn(x ; q) ∈ T (T ={Pn(x ; q) ∈ Askey–Wilson polynomials: Al-Salam-Carlitz I, Discrete q-Hermite I, Little (Big) q-Laguerre, Little (Big) q-Jacobi, q-Hahn ...
Eid H. Doha, Hany M. Ahmed
doaj   +1 more source

Bispectrality of Multivariable Racah–Wilson Polynomials [PDF]

Constructive Approximation, 2009
minor ...
Geronimo, Jeffrey S., Iliev, Plamen
openaire   +3 more sources

Analysing Effects of Birth Order on Intelligence, Educational Attainment, Big Five, and Risk Aversion in an Indonesian Sample

European Journal of Personality, EarlyView., 2020
Abstract Few studies have examined birth order effects on personality in countries that are not Western, educated, industrialized, rich, and democratic (WEIRD). However, theories have generally suggested that interculturally universal family dynamics are the mechanism behind birth order effects, and prominent theories such as resource dilution would ...
Laura J. Botzet, Julia M. Rohrer, Ruben C. Arslan   +2 more
wiley   +1 more source