Results 31 to 40 of about 3,786,908 (243)

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

Connection and linearization coefficients of the Askey-Wilson polynomials

Journal of Symbolic Computation, 2013
The linearization problem is the problem of finding the coefficients C"k(m,n) in the expansion of the product P"n(x)Q"m(x) of two polynomial systems in terms of a third sequence of polynomials R"k(x),P"n(x)Q"m(x)=@?k=0n+mC"k(m,n)R"k(x). The polynomials P"n, Q"m and R"k may belong to three different polynomial families.
M. Foupouagnigni, W. Koepf, D. D. Tcheutia   +2 more
semanticscholar   +2 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

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

Selberg integrals, Askey-Wilson polynomials and lozenge tilings of a hexagon with a triangular hole [PDF]

Journal of Combinatorial Theory, 2015
We obtain an explicit formula for a certain weighted enumeration of lozenge tilings of a hexagon with an arbitrary triangular hole. The complexity of our expression depends on the distance from the hole to the center of the hexagon.
H. Rosengren
semanticscholar   +1 more source

The colored Jones polynomials as vortex partition functions

Journal of High Energy Physics, 2021
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, Seiji Terashima, Yuji Terashima   +2 more
doaj   +1 more source

Equivalences of the Multi-Indexed Orthogonal Polynomials [PDF]

, 2013
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

Tridiagonal representations of the q-oscillator algebra and Askey–Wilson polynomials [PDF]

, 2016
A construction is given of the most general representations of the q-oscillator algebra where both generators are tridiagonal. It is shown to be connected to the Askey–Wilson polynomials.
S. Tsujimoto, L. Vinet, A. Zhedanov
semanticscholar   +1 more source

Recurrence Relations of the Multi-Indexed Orthogonal Polynomials IV : closure relations and creation/annihilation operators [PDF]

, 2016
We consider the exactly solvable quantum mechanical systems whose eigenfunctions are described by the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson and Askey-Wilson types.
Odake, Satoru
core   +3 more sources