Results 91 to 100 of about 45,130 (244)
Zhedanov's algebra AW(3) is considered with explicit structure constants such that, in the basic representation, the first generator becomes the second order q-difference operator for the Askey-Wilson polynomials. It is proved that this representation is
Tom H. Koornwinder
doaj
The structure relation for Askey–Wilson polynomials
An explicit structure relation for Askey-Wilson polynomials is given. This involves a divided q-difference operator which is skew symmetric with respect to the Askey-Wilson inner product and which sends polynomials of degree n to polynomials of degree n+1.
openaire +4 more sources
Abstract Numerous traits that define behaviour, development, life‐history and species ecology are expressed as dichotomous alternative phenotypes (e.g. morphological and behavioural polyphenisms, reproductive vs. non‐reproductive states, movement vs. philopatry).
Paul Acker, Jane M. Reid
wiley +1 more source
On universal quantum dimensions
We represent in the universal form restricted one-instanton partition function of supersymmetric Yang–Mills theory. It is based on the derivation of universal expressions for quantum dimensions (universal characters) of Cartan powers of adjoint and some ...
R.L. Mkrtchyan
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Effects of Aerobic and Strength‐Based Exercise on Consumer Preference for Protein
ABSTRACT The role of protein consumption in adaptations to physical exercise is well documented in prior research. However, little is known about how physical exercise and associated protein needs impact consumers’ protein demand. This study pairs matching methods with discrete choice experiments to estimate the impacts of physical exercise on ...
Justin D. Bina
wiley +1 more source
Recurrence Relations of the Multi-Indexed Orthogonal Polynomials V : Racah and $q$-Racah types
In previous papers, we discussed the recurrence relations of the multi-indexed orthogonal polynomials of the Laguerre, Jacobi, Wilson and Askey-Wilson types. In this paper we explore those of the Racah and $q$-Racah types. For the $M$-indexed ($q$-)Racah
Odake, Satoru
core +1 more source
Biodiversity–food trade‐offs when agricultural land is spared from production
Abstract Biodiversity conservation in agricultural landscapes, the world's predominant land use, could involve sparing, or setting aside, agricultural land from production, implying biodiversity–food trade‐offs. Employing bird species and agricultural data in two panel data sets, we evaluate the extent of set‐aside's trade‐offs in England between 1992 ...
Charles Palmer +3 more
wiley +1 more source
Bispectral extensions of the Askey–Wilson polynomials
Following the pioneering work of Duistermaat and Gr nbaum, we call a family $\{p_n(x)\}_{n=0}^{\infty}$ of polynomials bispectral, if the polynomials are simultaneously eigenfunctions of two commutative algebras of operators: one consisting of difference operators acting on the degree index $n$, and another one of operators acting on the variable $x$.
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ABSTRACT The environment experienced by a mother influences offspring phenotype through maternal effects, which can have significant adaptive benefits for both the mother and the offspring. However, the ways in which maternal environments influence offspring development are extremely diverse, and empirical studies using an outcome‐based approach often ...
Sin‐Yeon Kim, Judith Morales
wiley +1 more source
Scalar blocks as gravitational Wilson networks
In this paper we continue to develop further our prescription [ arXiv:1602.02962 ] to holographically compute the conformal partial waves of CFT correlation functions using the gravitational open Wilson network operators in the bulk.
Atanu Bhatta +2 more
doaj +1 more source

