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Truncated Hermite polynomials [PDF]

open access: yesJournal of Difference Equations and Applications, 2022
We define the family of truncated Hermite polynomials , orthogonal with respect to the linear functional The connection of with Hermite and Rys polynomials is stated. The semiclassical character of as polynomials of class 2 is emphasized.
D. Dominici, F. Marcell'an
semanticscholar   +3 more sources

An inequality for Hermite polynomials [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1961
1. G. Higman, Enumerating p-groups, I: Inequalities, Proc. London Math. Soc. vol. 10 (1960) pp. 24-30. 2. , Enumerating p-groups, II: Problems whose solution is PORC, Proc. London Math. Soc. vol. 10 (1960) pp. 566-582. 3. M. Hall, Jr., The theory of groups, New York, Macmillan, 1959. 4. K. W.
Jack Indritz
openalex   +2 more sources

Atomic Electronic Structure Calculations with Hermite Interpolating Polynomials. [PDF]

open access: yesJ Phys Chem A, 2023
We have recently described the implementation of atomic electronic structure calculations within the finite element method with numerical radial basis functions of the form χμ(r) = r–1Bμ(r), where high-order Lagrange interpolating polynomials (LIPs) were
Lehtola S.
europepmc   +3 more sources

Differential Equations Associated with Two Variable Degenerate Hermite Polynomials

open access: yesMathematics, 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, Cheon Seoung Ryoo
doaj   +2 more sources

On Apostol-Type Hermite Degenerated Polynomials

open access: yesMathematics, 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   +4 more
doaj   +2 more sources

Coefficients of Wronskian Hermite polynomials [PDF]

open access: yesStudies in Applied Mathematics, 2019
We study Wronskians of Hermite polynomials labeled by partitions and use the combinatorial concepts of cores and quotients to derive explicit expressions for their coefficients.
Niels Bonneux, C. Dunning, Marco Stevens
semanticscholar   +5 more sources

Identities involving 3-variable Hermite polynomials arising from umbral method

open access: yesAdvances 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   +3 more
doaj   +2 more sources

On Hermite-Hermite matrix polynomials [PDF]

open access: bronzeMathematica Bohemica, 2008
In this paper 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. A new expansion of the matrix exponential for a wide class
Mohamed Metwally   +2 more
openalex   +3 more sources

On 2-variable q-Hermite polynomials

open access: yesAIMS Mathematics, 2021
The quantum calculus has emerged as a connection between mathematics and physics. It has wide applications, particularly in quantum mechanics, analytic number theory, combinatorial analysis, operation theory etc.
Nusrat Raza   +3 more
doaj   +2 more sources

Computational formulas and identities for new classes of Hermite‐based Milne–Thomson type polynomials: Analysis of generating functions with Euler's formula

open access: yesMathematical Methods in the Applied Sciences, 2021
The aim of this paper is to construct generating functions for a new family of polynomials, which are called parametric Hermite‐based Milne–Thomson type polynomials.
Neslihan Kilar, Yilmaz Simsek
exaly   +2 more sources

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