Results 51 to 60 of about 56,667 (302)

A NEW CHARACTERIZATION OF 𝑞-CHEBYSHEV POLYNOMIALS OF THE SECOND KIND

Проблемы анализа
In this work, we introduce the notion of $\cal{U}_{(q, \mu)}$-classical orthogonal polynomials, where $\cal{U}_{(q, \mu)}$ is the degree raising shift operator defined by $\cal{U}_{(q, \mu)}$ $:= x(xH_q + q^{-1}I_{\cal{P}}) + \mu H_q$, where $\mu$ is a
S. Jbeli
doaj   +1 more source

The orthogonal polynomials generated by [ceteris omissis] [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 1995
Starting from the generating function, a differential-recurrence relation is derived, which is then combined with the three-term pure recurrence formula (a necessary and sufficient condition for orthogonal polynomials) to obtain a differential ...
A.L.W. VON BACHHAUS
doaj  

On Spectral Vectorial Differential Equation of Generalized Hermite Polynomials

Axioms, 2022
In this paper, we first give some results on monic generalized Hermite polynomials (GHP) {Hn(μ)(x)}n≥0, orthogonal with respect to the positive weight |x|2μe−x2,μ>−12,x∈R, which will lead to the formulation of the second-order spectralvectorial ...
Mohamed Jalel Atia, Majed Benabdallah
doaj   +1 more source

Perturbations around the zeros of classical orthogonal polynomials [PDF]

, 2014
Starting from degree N solutions of a time dependent Schrodinger-like equation for classical orthogonal polynomials, a linear matrix equation describing perturbations around the N zeros of the polynomial is derived.
R. Sasaki
semanticscholar   +1 more source

Expressing Sums of Finite Products of Chebyshev Polynomials of the Second Kind and of Fibonacci Polynomials by Several Orthogonal Polynomials

Mathematics, 2018
This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon, Dmitry V. Dolgy   +3 more
doaj   +1 more source

Direct Ink Writing of Carbon‐Based Electrofluids for Soft Electrical Component Manufacturing

Advanced Materials Technologies, EarlyView.
This work explores the manufacturing of Electrofluids (EFs), conductive particle suspensions that flow while maintaining conductivity, for soft electrical components. Using Direct Ink Writing (DIW), patterned EFs achieve enhanced performance, including a 800% sensitivity boost in strain gauges. Through rheological studies, a printability map is created
Niclas Hautz, Lola González‐García
wiley   +1 more source

Some New Connection Relations Related to Classical Orthogonal Polynomials

Journal of Mathematics, 2020
In this paper, we deal with a problem of positivity of linear functionals in the linear space ℙ of polynomials in one variable with complex coefficients.
Wathek Chammam, Wasim Ul-Haq
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

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

Duality for classical orthogonal polynomials

Journal of Computational and Applied Mathematics, 2005
AbstractSome aspects of duality for the classical orthogonal polynomials are explained. Duality deals with the similarity of these functions as functions of the orthogonality variable and of the degree of the polynomials.
openaire   +2 more sources