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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

Goodness‐of‐fit tests in proportional hazards models with random effects

Biometrical Journal, Volume 65, Issue 1, January 2023., 2023
Abstract This paper deals with testing the functional form of the covariate effects in a Cox proportional hazards model with random effects. We assume that the responses are clustered and incomplete due to right censoring. The estimation of the model under the null (parametric covariate effect) and the alternative (nonparametric effect) is performed ...
Wenceslao González‐Manteiga, María Dolores Martínez‐Miranda, Ingrid Van Keilegom   +2 more
wiley   +1 more source

Did earnings mobility change after minimum wage introduction? Evidence from parametric and semi‐nonparametric methods in Germany

Journal of Applied Econometrics, Volume 37, Issue 7, Page 1379-1402, November/December 2022., 2022
Summary We analyze the evolution of earnings mobility in Germany between 2011 and 2018. We use transition matrices and parametric and semi‐nonparametric copula models to assess the impact of the introduction of the national minimum wage on January 1, 2015, on individual positional persistence in the wage distribution.
Costanza Naguib
wiley   +1 more source

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

The SHARK integral generation and digestion system

Journal of Computational Chemistry, Volume 44, Issue 3, Page 381-396, January 30, 2023., 2023
The BLAS level 3‐driven SHARK integral generation and digestion library is introduced and it is discussed how it leads to greatly simplified workflows and substantial computational speedups. Abstract In this paper, the SHARK integral generation and digestion engine is described.
Frank Neese
wiley   +1 more source

A note on Hermite-based truncated Euler polynomials

Boletim da Sociedade Paranaense de Matemática, 2022
In this paper, we introduce a new class of truncated Hermite-Euler polynomials and numbers as a generalization of Hermite-Euler polynomials. Furthermore, the discussion is on properties and relations with the hypergeometric Bernoulli polynomials ...
Waseem A. Khan, Divesh Srivastava, Rifaqat Ali   +2 more
doaj   +1 more source

Three‐dimensional swimming behavior and activity of a mesopelagic fish

Limnology and Oceanography, Volume 67, Issue 12, Page 2677-2690, December 2022., 2022
Abstract Knowledge of the three‐dimensional behavior and activity patterns of mesopelagic fishes is crucial for understanding their role in ecological and biogeochemical processes in the ocean. We here show that the use of submerged stationary echosounders enables detailed analysis of three‐dimensional swimming behavior of small mesopelagic fishes in ...
Svenja Christiansen, Øystein Langangen, Josefin Titelman, Leif Asbjørn Vøllestad, Stein Kaartvedt   +4 more
wiley   +1 more source

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, Cheon Seoung Ryoo
doaj   +1 more source

Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials

International Journal of Quantum Chemistry, Volume 123, Issue 2, January 15, 2023., 2023
The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
wiley   +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