Results 1 to 10 of about 263,554 (202)

Zeros of Sobolev Orthogonal Polynomials of Gegenbauer Type [PDF]

Journal of Approximation Theory, 2002
This paper is devoted to the study of the location of the zeros of the Sobolev polynomials \(S_n\), where \(\{S_n\}_n\) are the monic orthogonal polynomial sequences with respect to the Sobolev inner product. First the author recalls some well known properties of Gegenbauer polynomials, which are used in the following.
Groenevelt, W.G.M.
exaly   +5 more sources

Gegenbauer Goldstones [PDF]

Journal of High Energy Physics, 2022
We investigate radiatively stable classes of pseudo-Nambu-Goldstone boson (pNGB) potentials for approximate spontaneously broken SO(N + 1) → SO(N). Using both the one-loop effective action and symmetry, it is shown that a Gegenbauer polynomial potential ...
Gauthier Durieux, Matthew McCullough, Ennio Salvioni   +2 more
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Jaynes-Gibbs Entropic Convex Duals and Orthogonal Polynomials [PDF]

Entropy, 2022
The univariate noncentral distributions can be derived by multiplying their central distributions with translation factors. When constructed in terms of translated uniform distributions on unit radius hyperspheres, these translation factors become ...
Richard Le Blanc
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Enhancing low-light images using Sakaguchi type function and Gegenbauer polynomial [PDF]

Scientific Reports
Enhancing low-light images is crucial for various applications in computer vision, yet current approaches often fall short in balancing image quality and detail preservation.
K. Sivagami Sundari, B. Srutha Keerthi
doaj   +2 more sources

A Deformed Gegenbauer-Type Polynomial System With Numerical Illustration for Spectral Diffusion Models

Advances in Mathematical Physics
Purpose This study aims to develop a mathematically cautious and reproducible (q, τ)‐deformed Gegenbauer‐type (DGT) polynomial ((q, τ)‐DGT) for spectral approximation and illustrative diffusion modeling. The revision is motivated by the need to avoid circular definitions, unsupported orthogonality claims, and unstable diffusion sign conventions ...
Rabha W. Ibrahim, Dumitru Baleanu, Soheil Salahshour   +2 more
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A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions

Axioms, 2023
Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials. For functions falling within these subclasses, coefficient bounds a2 and a3 as well as Fekete–Szegö inequalities are derived. Specializing the parameters used in our main results leads
Gharib Gharib, Ala Amourah, Abdullah Alsoboh   +2 more
exaly   +3 more sources

Mixed-Type Hypergeometric Bernoulli–Gegenbauer Polynomials

Mathematics, 2023
In this paper, we consider a novel family of the mixed-type hypergeometric Bernoulli–Gegenbauer polynomials. This family represents a fascinating fusion between two distinct categories of special functions: hypergeometric Bernoulli polynomials and Gegenbauer polynomials. We focus our attention on some algebraic and differential properties of this class
Shahid Ahmad Wani, Dionisio Peralta Perez, Yamilet Quintana   +2 more
exaly   +4 more sources

An integral formula for generalized Gegenbauer polynomials and Jacobi polynomials

Advances in Applied Mathematics, 2002
In this interesting paper the author studies generalized Gegenbauer polynomials that are orthogonal with respect to the weight function \(|x|^{2\mu}\) \((1-x^2)^{\lambda- {1\over 2}}\). First, an important integral formula is established for these polynomials that serves as a transformation between \(h\)-harmonics of different parameters and contains ...
exaly   +3 more sources

Construction of the Shifted Modified Gegenbauer Polynomials and Approximation

Advances in Mathematical Physics
This article is concerned with deriving a new system of orthogonal polynomials, derived from the Gegenbauer polynomials, modified by affine transforms in variable, named shifted Gegenbauer polynomials. They appear as solutions of linear differential equation.
Hossein Jafari
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Approximate solution of space fractional order diffusion equations by Gegenbauer collocation and compact finite difference scheme

Journal of Nigerian Society of Physical Sciences, 2023
In this paper, approximation of space fractional order diffusion equation are considered using compact finite difference technique to discretize the time derivative, which was then approximated via shifted Gegenbauer polynomials using zeros of (N - 1 ...
Kazeem Issa, Steven Ademola Olorunnisola, Tajudeen Aliu, Adeshola Adeniran Dauda   +3 more
doaj   +1 more source