AbstractIn this paper, we characterize all polynomial sets which are at the same time d-orthogonal and Δω-Appell. The resulting polynomials reduce to Charlier polynomials for (d,ω)=(1,1). Various properties of the obtained polynomials are singled out: generating function, recurrence relation of order d+1 and a difference equation of order d+1. We also explicitly express the d-dimensional functional for which the d-orthogonality holds
AbstractThe d-symmetric classical d-orthogonal polynomials are an extension of the standard symmetri...
AbstractWe show combinatorially that the higher-order matching polynomials of several families of gr...
After an introductory discussion, in which the main notions and background materials of discrete mu...
Abstract. The purpose of this paper is to study the class of polynomial sets which are at the same t...
AbstractWe are dealing with the concept of d-dimensional orthogonal (abbreviated d-orthogonal) polyn...
AbstractWe are dealing with the concept of d-dimensional orthogonal (abbreviated d-orthogonal) polyn...
AbstractGeneralized Charlier polynomials are introduced as semi-classical orthogonal polynomials of ...
AbstractIn this paper, we obtain a necessary and sufficient condition on a linear operator J, define...
AbstractIn this paper we obtain a set of polynomials which are orthogonal with respect to the classi...
AbstractIn this paper, we characterize the d-orthogonal polynomial sets given by their explicit expr...
AbstractWe give a characterization of "classical" d-orthogonal polynomials through a vectorial funct...
AbstractTwo families of d-orthogonal polynomials related to su(2) are identified and studied. The al...
AbstractIn this paper, we extend the theory of discrete orthogonal polynomials (on a linear lattice)...
AbstractIn this paper, we solve a characterization problem in the context of the d-orthogonality. Th...
AbstractFor the sequences of discrete classical orthogonal polynomials (Charlier, Meixner, Hahn) we ...
AbstractThe d-symmetric classical d-orthogonal polynomials are an extension of the standard symmetri...
AbstractWe show combinatorially that the higher-order matching polynomials of several families of gr...
After an introductory discussion, in which the main notions and background materials of discrete mu...
Abstract. The purpose of this paper is to study the class of polynomial sets which are at the same t...
AbstractWe are dealing with the concept of d-dimensional orthogonal (abbreviated d-orthogonal) polyn...
AbstractWe are dealing with the concept of d-dimensional orthogonal (abbreviated d-orthogonal) polyn...
AbstractGeneralized Charlier polynomials are introduced as semi-classical orthogonal polynomials of ...
AbstractIn this paper, we obtain a necessary and sufficient condition on a linear operator J, define...
AbstractIn this paper we obtain a set of polynomials which are orthogonal with respect to the classi...
AbstractIn this paper, we characterize the d-orthogonal polynomial sets given by their explicit expr...
AbstractWe give a characterization of "classical" d-orthogonal polynomials through a vectorial funct...
AbstractTwo families of d-orthogonal polynomials related to su(2) are identified and studied. The al...
AbstractIn this paper, we extend the theory of discrete orthogonal polynomials (on a linear lattice)...
AbstractIn this paper, we solve a characterization problem in the context of the d-orthogonality. Th...
AbstractFor the sequences of discrete classical orthogonal polynomials (Charlier, Meixner, Hahn) we ...
AbstractThe d-symmetric classical d-orthogonal polynomials are an extension of the standard symmetri...
AbstractWe show combinatorially that the higher-order matching polynomials of several families of gr...
After an introductory discussion, in which the main notions and background materials of discrete mu...
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