Results 21 to 30 of about 490,089 (251)
Fractal and Fractional, 2023 This paper introduces a new type of polynomials generated through the convolution of generalized multivariable Hermite polynomials and Appell polynomials.
Mohra Zayed +2 more
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Polynomials with real zeros via special polynomials
Comptes Rendus. Mathématique, 2021 In this paper, we use particular polynomials to establish some results on the real rootedness of polynomials. The considered polynomials are Bell polynomials and Hermite polynomials.
Mihoubi, Miloud, Taharbouchet, Said
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A Unified Family of Generalized $q$-Hermite Apostol Type Polynomials and its Applications
Communications in Advanced Mathematical Sciences, 2019 The intended objective of this paper is to introduce a new class of generalized $q$-Hermite based Apostol type polynomials by combining the $q$-Hermite polynomials and a unified family of $q$-Apostol-type polynomials.
Tabinda Nahid, Subuhi Khan
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AIMS Mathematics, 2023 In this study, we develop various features in special polynomials using the principle of monomiality, operational formalism, and other qualities. By utilizing the monomiality principle, new outcomes can be achieved while staying consistent with past ...
Mohra Zayed, Shahid Wani
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Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions [PDF]
, 2018 Burchnall's method to invert the Feldheim-Watson linearization formula for the Hermite polynomials is extended to all polynomial families in the Askey-scheme and its $q$-analogue.
Ismail, Mourad E. H. +2 more
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Survey of Hermite Interpolating Polynomials for the Solution of Differential Equations
Mathematics, 2023 With progress on both the theoretical and the computational fronts, the use of Hermite interpolation for mathematical modeling has become an established tool in applied science.
Archna Kumari, Vijay K. Kukreja
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Orthogonality of Hermite polynomials in superspace and Mehler type formulae [PDF]
, 2011 In this paper, Hermite polynomials related to quantum systems with orthogonal O(m)-symmetry, finite reflection group symmetry G < O(m), symplectic symmetry Sp(2n) and superspace symmetry O(m) x Sp(2n) are considered.
Coulembier, Kevin +2 more
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Appell and Sheffer sequences: on their characterizations through functionals and examples
Comptes Rendus. Mathématique, 2021 The aim of this paper is to present a new simple recurrence for Appell and Sheffer sequences in terms of the linear functional that defines them, and to explain how this is equivalent to several well-known characterizations appearing in the literature ...
Carrillo, Sergio A., Hurtado, Miguel
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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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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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