Results 81 to 90 of about 3,786,908 (243)
A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials [PDF]
, 2012 We prove a general quadratic formula for basic hypergeometric series, from which simple proofs of several recent determinant and Pfaffian formulas are obtained. A special case of the quadratic formula is actually related to a Gram determinant formula for
Victor J. W. Guo +3 more
semanticscholar +1 more source
On the botanical history and nomenclature of the New World genus Piscidia (Fabaceae)
Nordic Journal of Botany, EarlyView.Piscidia L. (Fabaceae) is a New World genus with nine recognized taxa (seven species and two varieties). The previous nomenclatural revisions, made in 1910 and in 1969, are revisited here. The names Derris grandifolia Heyde & Lux ex Donn.Sm. and P. cubensis Urb. required step II lectotypifications, with an epitype for the latter name.
Camila Sánchez‐ Vega +4 more
wiley +1 more source
Double Affine Hecke Algebras of Rank 1 and the Z_3-Symmetric Askey-Wilson Relations
Symmetry, Integrability and Geometry: Methods and Applications, 2010 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
Nonprofit Management and Leadership, EarlyView.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
Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
Nuclear Physics B, 2019 An operator of Heun-Askey-Wilson type is diagonalized within the framework of the algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and the generic case, the corresponding eigenstates are constructed in the form of ...
Pascal Baseilhac, Rodrigo A. Pimenta
doaj +1 more source
The structure relation for Askey–Wilson polynomials
Journal of Computational and Applied Mathematics, 2007 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 +5 more sources
People and Nature, EarlyView.Abstract Invasive alien plants can provide economic or cultural benefits to local communities, influencing perceptions and potentially affecting management decisions. Understanding these perceptions is crucial to avoiding inefficiencies, misunderstandings and conflicts in the management of invasive alien species.
Lehlohonolo D. Adams +3 more
wiley +1 more source
A Relativistic Conical Function and its Whittaker Limits
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In previous work we introduced and studied a function R(a+,a−,c;v,vˆ) that is a generalization of the hypergeometric function _2F_1 and the Askey-Wilson polynomials.
Simon Ruijsenaars
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Advances in Mathematical Physics, 2018 We consider generalized Melvin-like solutions associated with nonexceptional Lie algebras of rank 4 (namely, A4, B4, C4, and D4) corresponding to certain internal symmetries of the solutions.
S. V. Bolokhov, V. D. Ivashchuk
doaj +1 more source
Generalized Dyck tilings (Extended Abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Recently, Kenyon and Wilson introduced Dyck tilings, which are certain tilings of the region between two Dyck paths. The enumeration of Dyck tilings is related with hook formulas for forests and the combinatorics of Hermite polynomials. The first goal of
Matthieu Josuat-Vergès, Jang Soo Kim
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