Results 21 to 30 of about 81,358 (250)
On the Generalized Class of Multivariable Humbert-Type Polynomials
International Journal of Mathematics and Mathematical SciencesThe present paper deals with the class of multivariable Humbert polynomials having generalization of some well-known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović-Djordjević, Horadam, Horadam-Pethe, Pathan and Khan, a class ...
B. B. Jaimini +3 more
doaj +2 more sources
AIMS Mathematics, 2023 We present a novel direct integral pseudospectral (PS) method (a direct IPS method) for solving a class of continuous-time infinite-horizon optimal control problems (IHOCs).
Kareem T. Elgindy, Hareth M. Refat
doaj +2 more sources
Some identities involving Gegenbauer polynomials [PDF]
arXiv, 2012 In this paper we derive some interesting identities arising from the orhtogonality of gegenbauer polynomials.
Seog-Hoon Rim, Dae San Kim, Taekyun Kim
arxiv +5 more sources
On the L 2 -norm of Gegenbauer polynomials. [PDF]
Math Sci (Karaj), 2022 AbstractGegenbauer, also known as ultra-spherical, polynomials appear often in numerical analysis or interpolation. In the present text we find a recursive formula for and compute the asymptotic behavior of their $$L^2$$ L 2 -norm.
Ferizović D.
europepmc +6 more sources
Gegenbauer polynomials and the Fueter theorem [PDF]
Complex Variables and Elliptic Equations, 2013 The Fueter theorem states that regular (resp. monogenic) functions in quaternionic (resp. Clifford) analysis can be constructed from holomorphic functions in the complex plane, hereby using a combination of a formal substitution and the action of an appropriate power of the Laplace operator.
David Eelbode +2 more
openalex +5 more sources
Matrix-valued Gegenbauer polynomials [PDF]
arXiv, 2014 We introduce matrix-valued weight functions of arbitrary size, which are analogues of the weight function for the Gegenbauer or ultraspherical polynomials for the parameter $\nu>0$. The LDU-decomposition of the weight is explicitly given in terms of Gegenbauer polynomials.
Koelink, Erik +2 more
arxiv +3 more sources
Generalized Gegenbauer orthogonal polynomials
Journal of Computational and Applied Mathematics, 2001 AbstractIn this paper we explore a specific semi-classical orthogonal sequence, namely the generalized Gegenbauer orthogonal polynomials (GG) which appear in many applications such as the weighted Lp mean convergence of Hermite–Fejér interpolation or the chain of harmonic oscillators in the absence of externally applied forces.
S. Belmehdi
openalex +3 more sources
Exceptional Gegenbauer polynomials via isospectral deformation
Studies in Applied Mathematics, 2021 AbstractIn this paper, we show how to construct exceptional orthogonal polynomials (XOP) using isospectral deformations of classical orthogonal polynomials. The construction is based on confluent Darboux transformations, where repeated factorizations at the same eigenvalue are allowed. These factorizations allow us to construct Sturm–Liouville problems
María Ángeles García‐Ferrero +3 more
openalex +6 more sources
Applied Mathematics in Science and Engineering, 2022 In recent years, using the idea of analytic and bi-univalent functions, many ideas have been developed by different well-known authors, but the using Gegenbauer polynomials along with certain bi-univalent functions is very rare in the literature.
Qiuxia Hu +5 more
doaj +1 more source
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 +3 more
doaj +1 more source