Results 31 to 40 of about 525,666 (282)

Some Properties Involving q-Hermite Polynomials Arising from Differential Equations and Location of Their Zeros

Mathematics, 2021
Hermite polynomials are one of the Apell polynomials and various results were found by the researchers. Using Hermit polynomials combined with q-numbers, we derive different types of differential equations and study these equations. From these equations,
Cheon-Seoung Ryoo, Jungyoog Kang
doaj   +1 more source

Computation of Hermite polynomials [PDF]

Mathematics of Computation, 1973
Projection methods are commonly used to approximate solutions of ordinary and partial differential equations. A basis of the subspace under consideration is needed to apply the projection method. This paper discusses methods of obtaining a basis for piecewise polynomial Hermite subspaces. A simple recursive procedure is derived for generating piecewise
George E. Trapp, Laurance C. Eisenhart
openaire   +1 more source

A note on Hermite-based truncated Euler polynomials

Boletim da Sociedade Paranaense de Matemática, 2022
In this paper, we introduce a new class of truncated Hermite-Euler polynomials and numbers as a generalization of Hermite-Euler polynomials. Furthermore, the discussion is on properties and relations with the hypergeometric Bernoulli polynomials ...
Waseem A. Khan, Divesh Srivastava, Rifaqat Ali   +2 more
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Some properties of the Hermite polynomials

Georgian Mathematical Journal, 2021
In this paper, by the Faà di Bruno formula and properties of Bell polynomials of the second kind, the authors reconsider the generating functions of Hermite polynomials and their squares, find an explicit formula for higher-order derivatives of the ...
Feng Qi (祁锋), Bai-Ni Guo (郭白妮)
semanticscholar   +1 more source

Hermite Interpolating Polynomials [PDF]

Miskolc Mathematical Notes, 2005

openalex   +4 more sources

On Some Relations between the Hermite Polynomials and Some Well-Known Classical Polynomials and the Hypergeometric Function.

مجلة العلوم البحتة والتطبيقية, 2020
The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
doaj   +1 more source

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
doaj   +1 more source

Spectral Theory of Exceptional Hermite Polynomials [PDF]

Operator Theory: Advances and Applications, 2020
In this paper we revisit exceptional Hermite polynomials from the point of view of spectral theory, following the work initiated by Lance Littlejohn.
D. Gómez‐Ullate, Y. Grandati, R. Milson   +2 more
semanticscholar   +1 more source

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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