Results 31 to 40 of about 45,941 (258)
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 +2 more
wiley +1 more source
Properties of the є-expansion, Lagrange inversion and associahedra and the O (1) model
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
Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure
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
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]
minor ...
Geronimo, Jeffrey S., Iliev, Plamen
openaire +3 more sources
Equivalences of the Multi-Indexed Orthogonal Polynomials [PDF]
Multi-indexed orthogonal polynomials describe eigenfunctions of exactly solvable shape-invariant quantum mechanical systems in one dimension obtained by the method of virtual states deletion.
Odake, Satoru
core +3 more sources
The colored Jones polynomials as vortex partition functions
We construct 3D N $$ \mathcal{N} $$ = 2 abelian gauge theories on S $$ \mathbbm{S} $$ 2 × S $$ \mathbbm{S} $$ 1 labeled by knot diagrams whose K-theoretic vortex partition functions, each of which is a building block of twisted indices, give the colored ...
Masahide Manabe +2 more
doaj +1 more source
Askey-Wilson Polynomials and Branching Laws
Connection coefficient formulas for special functions describe change of basis matrices under a parameter change, for bases formed by the special functions. Such formulas are related to branching questions in representation theory. The Askey-Wilson polynomials are one of the most general 1-variable special functions.
Back, Allen +3 more
openaire +3 more sources
Torus Knot Polynomials and Susy Wilson Loops [PDF]
We give, using an explicit expression obtained in [V. Jones, Ann. of Math. 126, 335 (1987)], a basic hypergeometric representation of the HOMFLY polynomial of $(n,m)$ torus knots, and present a number of equivalent expressions, all related by Heine's transformations. Using this result the $(m,n)\leftrightarrow (n,m)$ symmetry and the leading polynomial
Giasemidis, Georgios, Tierz, Miguel
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The non-symmetric Wilson polynomials are the Bannai–Ito polynomials [PDF]
The one-variable non-symmetric Wilson polynomials are shown to coincide with the Bannai-Ito polynomials. The isomorphism between the corresponding degenerate double affine Hecke algebra of type $(C_1^{\vee}, C_1)$ and the Bannai-Ito algebra is established.
Genest, Vincent X. +2 more
openaire +3 more sources

