Results 61 to 70 of about 2,343 (153)
Continuous −1$-1$ hypergeometric orthogonal polynomials
Studies in Applied Mathematics, Volume 153, Issue 3, October 2024.Abstract The study of −1$-1$ orthogonal polynomials viewed as q→−1$q\rightarrow -1$ limits of the q$q$‐orthogonal polynomials is pursued. This paper presents the continuous polynomials part of the −1$-1$ analog of the q$q$‐Askey scheme. A compendium of the properties of all the continuous −1$-1$ hypergeometric polynomials and their connections is ...
Jonathan Pelletier +2 more
wiley +1 more source
A CHARACTERIZATION OF MEIXNER ORTHOGONAL POLYNOMIALS VIA A CERTAIN TRANSFERT OPERATOR
Ural Mathematical JournalHere we consider a certain transfert operator \(\mathrm{M}_{(c,\omega)}=I_{\mathcal{P}}-c \, \tau_{\omega},\) \(\omega\neq0,\) \({c \in \mathbb{R}-\{0,1\},}\) and we prove the following statement: up to an affine transformation, the only orthogonal ...
Emna Abassi, Lotfi Khériji
doaj +1 more source
Conditional moments of q-Meixner processes
, 2004 We show that stochastic processes with linear conditional expectations and quadratic conditional variances are Markov, and their transition probabilities are related to a three-parameter family of orthogonal polynomials which generalize the Meixner ...
Al-Salam +18 more
core +3 more sources
Skew Howe duality and limit shapes of Young diagrams
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We consider the skew Howe duality for the action of certain dual pairs of Lie groups (G1,G2)$(G_1, G_2)$ on the exterior algebra ⋀(Cn⊗Ck)$\bigwedge (\mathbb {C}^{n} \otimes \mathbb {C}^{k})$ as a probability measure on Young diagrams by the decomposition into the sum of irreducible representations. We prove a combinatorial version of this skew
Anton Nazarov +2 more
wiley +1 more source
Interlacing of zeros of quasi-orthogonal Meixner polynomials [PDF]
Quaestiones Mathematicae, 2017 We consider the interlacing of zeros of polynomials within the sequences of quasi-orthogonal order one Meixner polynomials {Mn(x;β; c)∞ n=1 characterised by β; c ∈ (0; 1). The interlacing of zeros of quasi-orthogonal Meixner polynomials Mn(x;β; c) with the zeros of their nearest orthogonal counterparts Mt(x;β + k; c), l; n ∈ ℕ, k ∈ {1; 2}; is also ...
Driver, K., Jooste, Alta
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Biorthogonal Expansion of Non-Symmetric Jack Functions
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We find a biorthogonal expansion of the Cayley transform of the non-symmetric Jack functions in terms of the non-symmetric Jack polynomials, the coefficients being Meixner-Pollaczek type polynomials.
Siddhartha Sahi, Genkai Zhang
doaj
Multivariate Meixner polynomials as Birth and Death polynomials
, 2023 LaTeX 19 pages, no figure.
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UNIFORM ASYMPTOTIC APPROXIMATIONS FOR THE MEIXNER–SOBOLEV POLYNOMIALS [PDF]
Analysis and Applications, 2012 We obtain uniform asymptotic approximations for the monic Meixner–Sobolev polynomials Sn(x). These approximations for n → ∞, are uniformly valid for x/n restricted to certain intervals, and are in terms of Airy functions. We also give asymptotic approximations for the location of the zeros of Sn(x), especially the small and the large zeros are ...
Farid Khwaja, Sarah, Olde Daalhuis, Adri
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Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Bethe ansatz formulation is presented for several explicit examples of quasi exactly solvable difference equations of one degree of freedom which are introduced recently by one of the present authors.
Ryu Sasaki, Wen-Li Yang, Yao-Zhong Zhang
doaj +1 more source
Lowering and raising operators for the free Meixner class of orthogonal polynomials
, 2008 We compare some properties of the lowering and raising operators for the classical and free classes of Meixner polynomials on the real ...
Anshelevich M. +11 more
core +2 more sources