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Multivariate Hermite interpolation by algebraic polynomials: A survey
Journal of Computational and Applied Mathematics, 2000exaly
The Asymptotic Behaviour of the Hermite Polynomials
Indagationes Mathematicae (Proceedings), 1956openaire +2 more sources
A Note on the Polynomials of Hermite and Laguerre
Journal of the London Mathematical Society, 1938openaire +3 more sources
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.
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.
Clemente Cesarano +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, M Quattromini
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. +2 more
openaire +1 more source