Results 61 to 70 of about 45,941 (258)
Casoratian Identities for the Discrete Orthogonal Polynomials in Discrete Quantum Mechanics with Real Shifts [PDF]
In our previous papers, the Wronskian identities for the Hermite, Laguerre and Jacobi polynomials and the Casoratian identities for the Askey-Wilson polynomial and its reduced form polynomials were presented.
Odake, Satoru
core +3 more sources
Fear of Failure as a Gendered Barrier to Building Sustainable Entrepreneurial Ecosystems
ABSTRACT Drawing on four well‐established theoretical perspectives, this paper proposes an intersectional, emotionally grounded framework for understanding how gender and age jointly shape entrepreneurial perceptions across psychological, social, and cultural domains.
Giusy Sica +3 more
wiley +1 more source
The Universal Askey-Wilson Algebra and DAHA of Type (C_1^∨,C_1)
Around 1992 A. Zhedanov introduced the Askey-Wilson algebra AW(3). Recently we introduced a central extension $Delta_q$ of AW(3) called the universal Askey-Wilson algebra.
Paul Terwilliger
doaj +1 more source
Properties of some families of hypergeometric orthogonal polynomials in several variables
Limiting cases are studied of the Koornwinder-Macdonald multivariable generalization of the Askey-Wilson polynomials. We recover recently and not so recently introduced families of hypergeometric orthogonal polynomials in several variables consisting of ...
van Diejen, Jan F.
core +2 more sources
Tridiagonalization of the hypergeometric operator and the Racah-Wilson algebra [PDF]
The algebraic underpinning of the tridiagonalization procedure is investigated. The focus is put on the tridiagonalization of the hypergeometric operator and its associated quadratic Jacobi algebra.
Genest, Vincent X. +3 more
core +1 more source
Abstract Background Facets of decision‐making and risk‐taking are implicated in adolescent health risk behaviors; however, whether they may lead to adolescent engagement in substance use, gambling, and self‐harm is unknown. Methods We used the Millennium Cohort Study to test whether a task‐based measure of decision‐making and risk‐taking predicts ...
Nicole G. Hammond +4 more
wiley +1 more source
Exceptional Askey-Wilson type polynomials through Darboux-Crum transformations [PDF]
An alternative derivation is presented of the infinitely many exceptional Wilson and Askey-Wilson polynomials, which were introduced by the present authors in 2009.
Andrews G E +19 more
core +4 more sources
ABSTRACT With the aim to explore the potential of machine learning for nonprofit research, this article contrasts traditional linear regression with four contemporary supervised machine learning approaches. Concretely, we predict (1) reputation ratings and (2) the total number of volunteers for 4021 non‐profit organizations in the U.S.
Moritz Schmid +2 more
wiley +1 more source
Double Affine Hecke Algebras of Rank 1 and the Z_3-Symmetric Askey-Wilson Relations
We consider the double affine Hecke algebra H=H(k_0,k_1,k_0^v,k_1^v;q) associated with the root system (C_1^v,C_1). We display three elements x, y, z in H that satisfy essentially the Z_3-symmetric Askey-Wilson relations.
Paul Terwilliger, Tatsuro Ito
doaj +1 more source
Factorization of colored knot polynomials at roots of unity
HOMFLY polynomials are the Wilson-loop averages in Chern–Simons theory and depend on four variables: the closed line (knot) in 3d space–time, representation R of the gauge group SU(N) and exponentiated coupling constant q.
Ya. Kononov, A. Morozov
doaj +1 more source

