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Multiple orthogonal polynomials associated with macdonald functions [PDF]
Integral Transforms and Special Functions, 2000 We consider multiple orthogonal polynomials corresponding to two Macdonald functions (modified Bessel functions of the second kind), with emphasis on the polynomials on the diagonal of the Hermite-Pad table. We give some properties of these polynomials: differential properties, a Rodrigues type formula and explicit formulas for the third order linear
Van Assche, W., Yakubovich, S. B.
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WHAT IS...A Multiple Orthogonal Polynomial?
Notices of the American Mathematical Society, 2016 This is an extended version of our note in the Notices of the American Mathematical Society 63 (2016), no. 9, in which we explain what multiple orthogonal polynomials are and where they appear in various applications.
Martínez-Finkelshtein, A. +1 more
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Italian Journal of Animal Science, 2010 The objectives of this study were to estimate (co)variance functions for additive genetic and permanent environmental effects, as well as the genetic parameters for milk yield over multiple parities, using random regressions models (RRM).
H. Tonhati +6 more
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A Compressed Sensing Estimation Technique for Doubly Selective Channel in OFDM Systems
IEEE Access, 2019 In this work, an estimation algorithm based on the compressive sensing (CS) technique is proposed for an orthogonal frequency division multiplexing (OFDM) system applied to multi-path time-varying channels.
Huang-Chang Lee +2 more
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Vanishing sums of roots of unity and the Favard length of self-similar product sets
Discrete Analysis, 2022 Vanishing sums of roots of unity and the Favard length of self-similar product sets, Discrete Analysis 2022:19, 31 pp. An important theme in geometric measure theory is the typical size of a set when it is randomly projected. For example, suppose that $
Izabella Laba, Caleb Marshall
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Some classical multiple orthogonal polynomials
Journal of Computational and Applied Mathematics, 2001 Recently there has been a renewed interest in an extension of the notion of orthogonal polynomials known as multiple orthogonal polynomials. This notion comes from simultaneous rational approximation (Hermite-Pade approximation) of a system of several functions.
Assche, Walter Van, Coussement, Els
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Discrete Entropies of Chebyshev Polynomials
MathematicsBecause of its flexibility and multiple meanings, the concept of information entropy in its continuous or discrete form has proven to be very relevant in numerous scientific branches. For example, it is used as a measure of disorder in thermodynamics, as
Răzvan-Cornel Sfetcu +2 more
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Multiple orthogonal polynomials
Journal of Computational and Applied Mathematics, 1998 This is a review of the advances in the theory of simultaneous Padé approximants for the past five years. It covers new results in the classification of what appear to be the semiclassical multiple orthogonal polynomials, new applications to number theory, connections with the spectral theory of non-symmetric operators and orthogonal polynomials with ...
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Polynomials with Odd Orthogonal Multiplicity
Finite Fields and Their Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Three-fold symmetric Hahn-classical multiple orthogonal polynomials [PDF]
Analysis and Applications, 2019 We characterize all the multiple orthogonal three-fold symmetric polynomial sequences whose sequence of derivatives is also multiple orthogonal. Such a property is commonly called the Hahn property and it is an extension of the concept of classical polynomials to the context of multiple orthogonality.
Ana F. Loureiro, Walter Van Assche
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