Zobrazeno 1 - 10
of 48
pro vyhledávání: '"33D50"'
Autor:
Szabłowski, Paweł J.
We present several identities with a form of polynomials or rational functions that involve Pochhammer and $q$-Pochhammer symbols and $q$-binomials (i.e. Gauss polynomials). All these identities were obtained by some analytical methods based on infin
Externí odkaz:
http://arxiv.org/abs/2411.00647
New bivariate Griffiths polynomials of $q$-Racah type are introduced and characterized. They generalize the polynomials orthogonal on the multinomial distribution introduced by R. Griffiths fifty years ago. They also correspond to a $q$-deformation o
Externí odkaz:
http://arxiv.org/abs/2407.17016
Autor:
Watanabe, Yuta
This paper delves into the Terwilliger algebra associated with the ordered Hamming scheme, which extends from the wreath product of one-class association schemes and was initially introduced by Delsarte as a natural expansion of the Hamming schemes.
Externí odkaz:
http://arxiv.org/abs/2407.06550
Autor:
Damelin, S. B.
The Whitney near extension problem for finite sets in $\mathbb R^d,\, d\geq 2$ asks the following: Let $\phi:E\to \mathbb R^d$ be a near distortion on a finite set $E\subset \mathbb R^d$ with certain geometry. How to decide whether $\phi$ extends to
Externí odkaz:
http://arxiv.org/abs/2302.08045
Autor:
Liu, Zexin, Narayan, Akil
Orthogonal polynomials of several variables have a vector-valued three-term recurrence relation, much like the corresponding one-dimensional relation. This relation requires only knowledge of certain recurrence matrices, and allows simple and stable
Externí odkaz:
http://arxiv.org/abs/2202.04843
Autor:
Arjika, Sama
Publikováno v:
Bulletin of Mathematical Analysis and Applications, 11 (1) (2019) 44-54
In this paper, we provide a family of generalized discrete $q$-Hermite II polynomials denoted by $\tilde{h}_{n,\alpha}(x,y|q)$. An explicit relations connecting them with the $q$-Laguerre and Stieltjes-Wigert polynomials are obtained. Summation formu
Externí odkaz:
http://arxiv.org/abs/1902.09994
Autor:
De Bie, Hendrik, De Clercq, Hadewijch
The Gasper and Rahman multivariate $(-q)$-Racah polynomials appear as connection coefficients between bases diagonalizing different abelian subalgebras of the recently defined higher rank $q$-Bannai-Ito algebra $\mathcal{A}_n^q$. Lifting the action o
Externí odkaz:
http://arxiv.org/abs/1902.07883
Autor:
Corteel, Sylvie, Kim, Jang Soo
We introduce lecture hall tableaux, which are fillings of a skew Young diagram satisfying certain conditions. Lecture hall tableaux generalize both lecture hall partitions and anti-lecture hall compositions, and also contain reverse semistandard Youn
Externí odkaz:
http://arxiv.org/abs/1804.02489
Autor:
Ismail, Mourad E. H., Zhang, Ruiming
Publikováno v:
SIGMA 12 (2016), 021, 37 pages
We introduce a class of orthogonal polynomials in two variables which generalizes the disc polynomials and the 2-$D$ Hermite polynomials. We identify certain interesting members of this class including a one variable generalization of the 2-$D$ Hermi
Externí odkaz:
http://arxiv.org/abs/1502.07256
Autor:
Ismail, Mourad E. H., Zhang, Ruiming
We introduce two q-analogues of the 2D-Hermite polynomials which are functions of two complex variables. We derive explicit formulas, orthogonality relations, raising and lowering operator relations, generating functions, and Rodrigues formulas for b
Externí odkaz:
http://arxiv.org/abs/1411.5223