Results 31 to 40 of about 31,835 (251)

Exploring the versatile properties and applications of multidimensional degenerate Hermite polynomials

AIMS Mathematics, 2023
In this study, we develop various features in special polynomials using the principle of monomiality, operational formalism, and other qualities. By utilizing the monomiality principle, new outcomes can be achieved while staying consistent with past ...
Mohra Zayed, Shahid Wani
doaj   +1 more source

Seasonal count time series

Journal of Time Series Analysis, Volume 44, Issue 1, Page 93-124, January 2023., 2023
Count time series are widely encountered in practice. As with continuous valued data, many count series have seasonal properties. This article uses a recent advance in stationary count time series to develop a general seasonal count time series modeling paradigm.
Jiajie Kong, Robert Lund
wiley   +1 more source

Hermite polynomials and Fibonacci oscillators [PDF]

Journal of Mathematical Physics, 2019
We compute the (q1, q2)-deformed Hermite polynomials by replacing the quantum harmonic oscillator problem to Fibonacci oscillators. We do this by applying the (q1, q2)-extension of Jackson derivative. The deformed energy spectrum is also found in terms of these parameters. We conclude that the deformation is more effective in higher excited states.
Francisco A. Brito, Francisco A. Brito, Andre A. Marinho   +2 more
openaire   +4 more sources

Identities involving 3-variable Hermite polynomials arising from umbral method

Advances 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, Umme Zainab, Serkan Araci, Ayhan Esi   +3 more
doaj   +1 more source

Hermite Interpolating Polynomials [PDF]

Miskolc Mathematical Notes, 2005

openalex   +4 more sources

Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions [PDF]

, 2018
Burchnall's method to invert the Feldheim-Watson linearization formula for the Hermite polynomials is extended to all polynomial families in the Askey-scheme and its $q$-analogue.
Ismail, Mourad E. H., Koelink, Erik, Román, Pablo   +2 more
core   +3 more sources

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

Orthogonality of Hermite polynomials in superspace and Mehler type formulae [PDF]

, 2011
In this paper, Hermite polynomials related to quantum systems with orthogonal O(m)-symmetry, finite reflection group symmetry G < O(m), symplectic symmetry Sp(2n) and superspace symmetry O(m) x Sp(2n) are considered.
Coulembier, Kevin, De Bie, Hendrik, Sommen, Frank   +2 more
core   +3 more sources

Series with Hermite polynomials and applications [PDF]

Publicationes Mathematicae Debrecen, 2012
arXiv admin note: substantial text overlap with arXiv:1006 ...
Ayhan Dil, Khristo N. Boyadzhiev
openaire   +3 more sources

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