Results 1 to 10 of about 1,248 (191)

Differential Equations Associated with Two Variable Degenerate Hermite Polynomials

Mathematics, 2020
In this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials.
Ryoo Cheon Seoung, Cheon Seoung Ryoo, Kyung-Won Hwang   +2 more
exaly   +3 more sources

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.
Stiven Diaz, Clemente Cesarano, Waseem Ahmad Khan   +2 more
exaly   +3 more sources

Zeros of exceptional Hermite polynomials [PDF]

Journal of Approximation Theory, 2015
We study the zeros of exceptional Hermite polynomials associated with an even partition $λ$. We prove several conjectures regarding the asymptotic behavior of both the regular (real) and the exceptional (complex) zeros. The real zeros are distributed as the zeros of usual Hermite polynomials and, after contracting by a factor $\sqrt{2n}$, we prove that
Robert Milson
exaly   +5 more sources

On integrals involving Hermite polynomials

Applied Mathematics Letters, 2012
4 ...
D Babusci
exaly   +4 more sources

Some relations satisfied by Hermite-Hermite matrix polynomials [PDF]

Mathematica Bohemica, 2017
The classical Hermite-Hermite matrix polynomials for commutative matrices were first studied by Metwally et al. (2008). Our goal is to derive their basic properties including the orthogonality properties and Rodrigues formula.
Ayman Shehata, Lalit Mohan Upadhyaya
doaj   +1 more source

On Hermite-Hermite matrix polynomials [PDF]

Mathematica Bohemica, 2008
Summary: The definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and differential equations satisfied by them is presented.
Metwally, M. S., Mohamed, M. T., Shehata, A.   +2 more
openaire   +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
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

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