Results 11 to 20 of about 1,248 (191)

Some Identities Involving Two-Variable Partially Degenerate Hermite Polynomials Induced from Differential Equations and Structure of Their Roots

Mathematics, 2020
In this paper, we introduce two-variable partially degenerate Hermite polynomials and get some new symmetric identities for two-variable partially degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
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Certain Properties and Characterizations of Multivariable Hermite-Based Appell Polynomials via Factorization Method

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, Shahid Ahmad Wani, Ali M. Mahnashi   +2 more
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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, Umme Zainab, Serkan Araci, Ayhan Esi   +3 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
doaj   +1 more source

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
openaire   +2 more sources

Hermite polynomials on the plane [PDF]

Numerical Algorithms, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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