Results 11 to 20 of about 1,233 (186)

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
Eisenhart, Laurance C., Trapp, George E. jun.   +1 more
openaire   +2 more sources

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

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

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.
Grosu, Codruţ, Grosu, Corina
openaire   +3 more sources

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
doaj   +1 more source

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