Results 41 to 50 of about 31,835 (251)
Some classical multiple orthogonal polynomials [PDF]
, 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 ...
Al-Salam +23 more
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On peculiar properties of generating functions of some orthogonal polynomials [PDF]
, 2012 We prove that for |x|,|t|
Szabłowski, Paweł J.
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Classes of Bivariate Orthogonal Polynomials [PDF]
, 2016 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-$D$ Hermite ...
Ismail, Mourad E. H., Zhang, Ruiming
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On a Generalisation of Hermite Polynomials [PDF]
Proceedings of the American Mathematical Society, 1971 In this paper, the author introduces a generalisation of the Hermite polynomials. Hypergeometric representations, a new generating relation and n n th order differential formulae for the generalised polynomials have also been derived therein.
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Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials [PDF]
, 2013 We prove that every rational extension of the quantum harmonic oscillator that is exactly solvable by polynomials is monodromy free, and therefore can be obtained by applying a finite number of state-deleting Darboux transformations on the harmonic ...
Gomez-Ullate, David +2 more
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A $q$-deformation of true-polyanalytic Bargmann transforms when $q^{-1}>1$
Comptes Rendus. Mathématique, 2022 We combine continuous $q^{-1}$-Hermite Askey polynomials with new $2D$ orthogonal polynomials introduced by Ismail and Zhang as $q$-analogs for complex Hermite polynomials to construct a new set of coherent states depending on a nonnegative integer ...
El Moize, Othmane, Mouayn, Zouhaïr
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A characterization of Hermite polynomials
Journal of Computational and Applied Mathematics, 1997 AbstractWe show that for any orthogonal polynomials Pn(x)n=0∞ satisfying a spectral type differential equation of order N (⩾2) essentially Hermite polynomials if and only if the leading coefficient lN(x) is a nonzero constant.
Kwon, KH Kwon, Kil Hyun +2 more
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Some Integrals Involving q-Laguerre Polynomials and Applications
Abstract and Applied Analysis, 2013 The integrals involving multivariate q-Laguerre polynomials and then auxiliary ones are studied. In addition, the representations of q-Hermite polynomials by q-Laguerre polynomials and their related integrals are given.
Jian Cao
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Determinant Forms, Difference Equations and Zeros of the q-Hermite-Appell Polynomials
Mathematics, 2018 The present paper intends to introduce the hybrid form of q-special polynomials, namely q-Hermite-Appell polynomials by means of generating function and series definition.
Subuhi Khan, Tabinda Nahid
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Some relations satisfied by Hermite-Hermite matrix polynomials [PDF]
, 2016 summary:The classical Hermite-Hermite matrix polynomials for commutative matrices were first studied by Metwally et al. (2008). Our goal is to derive their basic properties including the orthogonality properties and Rodrigues formula.
Shehata, Ayman, Upadhyaya, Lalit Mohan
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