Results 21 to 30 of about 33,296 (252)
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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On Apostol-Type Hermite Degenerated Polynomials
Mathematics, 2023 This article presents a generalization of new classes of degenerated Apostol–Bernoulli, Apostol–Euler, and Apostol–Genocchi Hermite polynomials of level m.
Clemente Cesarano +4 more
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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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The Expansion of Wronskian Hermite Polynomials in the Hermite Basis [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2021 We express Wronskian Hermite polynomials in the Hermite basis and obtain an explicit formula for the coefficients. From this we deduce an upper bound for the modulus of the roots in the case of partitions of length 2. We also derive a general upper bound for the modulus of the real and purely imaginary roots.
Codruţ Grosu, Corina Grosu
openaire +3 more sources
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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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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Identities involving 3-variable Hermite polynomials arising from umbral method
Advances in Difference Equations, 2020 In this paper, we employ an umbral method to reformulate the 3-variable Hermite polynomials and introduce the 4-parameter 3-variable Hermite polynomials. We also obtain some new properties for these polynomials. Moreover, some special cases are discussed
Nusrat Raza +3 more
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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
core +3 more sources