Search Results - "Durán, Antonio J."

Exceptional Meixner and Laguerre orthogonal polynomials by Durán, Antonio J.

“…Using Casorati determinants of Meixner polynomials (mna,c)n, we construct for each pair F=(F1,F2) of finite sets of positive integers a sequence of polynomials…”
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Exceptional Hahn and Jacobi orthogonal polynomials by Durán, Antonio J.

“…Using Casorati determinants of Hahn polynomials (hnα,β,N)n, we construct for each pair F=(F1,F2) of finite sets of positive integers polynomials hnα,β,N;F,…”
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Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials by Duran, Antonio J

“…In this paper we prove in a constructing way that exceptional Charlier, Meixner, Hermite and Laguerre polynomials satisfy higher order recurrence relations…”
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Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters by Durán, Antonio J.

“…We construct new examples of exceptional Hahn and Jacobi polynomials. Exceptional polynomials are orthogonal polynomials with respect to a measure which are…”
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Exceptional Charlier and Hermite orthogonal polynomials by Durán, Antonio J.

“…Using Casorati determinants of Charlier polynomials (cna)n, we construct for each finite set F of positive integers a sequence of polynomials cnF, n∈σF, which…”
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Summing Sneddon–Bessel series explicitly by Durán, Antonio J., Pérez, Mario, Varona, Juan Luis

“…We sum in a closed form the Sneddon–Bessel series ∑m=1∞Jα(xjm,ν)Jβ(yjm,ν)jm,ν2n+α+β−2ν+2Jν+1(jm,ν)2,$$ \sum…”
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The algebra of difference operators associated to Meixner type polynomials by Durán, Antonio J., Rueda, Mónica

“…Meixner type polynomials are defined from the Meixner polynomials by using Casoratian determinants whose entries belong to two given finite sets of polynomials…”
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Admissibility condition for exceptional Laguerre polynomials by Durán, Antonio J., Pérez, Mario

“…We prove a necessary and sufficient condition for the integrability of the weight associated to the exceptional Laguerre polynomials. This condition is very…”
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Bispectrality of Charlier type polynomials by Durán, Antonio J.

“…Given a finite set of positive integers G and polynomials , , with degree of equal to g, we associate to them a sequence of Charlier type polynomials defined…”
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How to compute multivariate Bessel expansions by Durán, Antonio J., Pérez, Mario, Varona, Juan L.

“…We develop a constructive method for computing explicitly multivariate Bessel expansions of the type ∑ m ≥ 1 α m ∏ i = 1 k J μ i ( ζ m x i ) ( ζ m x i ) μ i ,…”
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On the properties of zeros of Bessel series in the real line by Durán, Antonio J., Pérez, Mario, Varona, Juan L.

“…For a given sequence of real numbers , we define the function where , denotes the Bessel function of order μ, and are the positive zeros of  . In this paper,…”
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Casorati type determinants of some \mathfrak{q}-classical orthogonal polynomials by Antonio J. Durán, Jorge Arvesú

“…Some symmetries for Casorati determinants whose entries are \mathfrak{q} \mathfrak{q} \mathfrak{q} \mathfrak{q} \mathfrak{q} \mathfrak{q} -Laguerre…”
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Bispectral Laguerre type polynomials by Durán, Antonio J., de la Iglesia, Manuel D.

“…We study the bispectrality of Laguerre type polynomials, which are defined by taking suitable linear combinations of a fixed number of consecutive Laguerre…”
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Orthogonal Polynomials Satisfying Higher-Order Difference Equations by Durán, Antonio J.

“…We introduce a large class of measures with orthogonal polynomials satisfying higher-order difference equations with coefficients independent of the degree of…”
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Constructing Bispectral Orthogonal Polynomials from the Classical Discrete Families of Charlier, Meixner and Krawtchouk by Durán, Antonio J., de la Iglesia, Manuel D.

“…Given a sequence of polynomials ( p n ) n , an algebra of operators A acting in the linear space of polynomials, and an operator D p ∈ A with D p ( p n ) = n p…”
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On difference operators for symmetric Krall-Hahn polynomials by Durán, Antonio J., de la Iglesia, Manuel D.

“…The problem of finding measures whose orthogonal polynomials are also eigenfunctions of higher-order difference operators have been recently solved by…”
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Exceptional Jacobi polynomials which are deformations of Jacobi polynomials by Durán, Antonio J.

“…In [10] we constructed new examples of exceptional Jacobi polynomials. The difference with the so called standard families is that the examples constructed in…”
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Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials by Durán, Antonio J.

“…Given a finite set of complex numbers U and a classical discrete measure μ, we consider the Christoffel transform ∏u∈U(x−u)μ. Under mild conditions on the…”
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Symmetries for Casorati determinants of classical discrete orthogonal polynomials by Antonio J. Durán

“…Given a classical discrete family (p_n)_n, i=1,\cdots ,k, we consider the k\times k \det ((p_{n+j-1}(m+i-1))_{i,j=1}^k). In this paper, we conjecture a nice…”
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Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits by Borrego, Jorge, Castro, Mirta, Durán, Antonio J.

“…We introduce a family of weight matrices W of the form T(t)T*(t), , where is a certain nilpotent matrix and is a diagonal matrix with negative real entries…”
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