Results 91 to 100 of about 110,049 (182)

The generating function of the Clifford-Gegenbauer polynomials

, 2012
In this paper a closed formula for the generating function of the Clifford-Gegenbauer polynomials is obtained using a combination of the Cauchy-Kowalevski extension technique and Fueter's ...
De Bie, Hendrik, Peña Peña, Dixan, Dixan Peña Peña, Sommen, Frank, Hendrik De Bie, Frank Sommen   +5 more
core   +1 more source

Recurrence relations and zeros of Gegenbauer–Sobolev orthogonal polynomials

Gegenbauer–Sobolev polynomials are an important class of Sobolev orthogonal polynomials. We prove a novel recurrence relation for this sequence of polynomials that allows a more accurate construction of the sequence.
Francisco Marcellán, Teresa Laudadio, Nicola Mastronardi, Niel Van Buggenhout, Paul Van Dooren   +4 more
core   +1 more source

Higher spin generalisation of the Gegenbauer polynomials

, 2017
: In this paper we generalise the harmonic Gegenbauer polynomials to the higher spin setting. To do so we will consider the space of simplicial harmonics and look for polynomials that are invariant with respect to a particular subalgebra of the ...
Eelbode, David, Janssens, Tim
core  

Ultraspherical/Gegenbauer polynomials to unify 2D/3D Ambisonic directivity designs [PDF]

This report on axisymmetric ultraspherical/Gegenbauer polynomials and their use in Ambisonic directivity design in 2D and 3D presents an alternative mathematical formalism to what can be read in, e.g., my and Matthias Frank's book on Ambisonics or J\'er\^
Zotter, Franz
core   +1 more source

Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold. [PDF]

Constr Approx, 2023
Dick J, Ehler M, Gräf M, Krattenthaler C.   +3 more
europepmc   +1 more source

The D ^∗ Dπ and B ^∗ Bπ couplings from light-cone sum rules. [PDF]

J High Energy Phys, 2021
Khodjamirian A, Melić B, Wang YM, Wei YB.   +3 more
europepmc   +1 more source

Systematic literature review of the performance characteristics of Chebyshev polynomials in machine learning applications for economic forecasting in low-income communities in sub-Saharan Africa. [PDF]

SN Bus Econ, 2022
Cordes D, Latifi S, Morrison GM.
europepmc   +1 more source

Arbitrary-Shape Dielectric Particles Interacting in the Linearized Poisson-Boltzmann Framework: An Analytical Treatment. [PDF]

J Phys Chem B, 2022
Siryk SV, Rocchia W.
europepmc   +1 more source

Spherical-Symmetry and Spin Effects on the Uncertainty Measures of Multidimensional Quantum Systems with Central Potentials. [PDF]

Entropy (Basel), 2021
Dehesa JS.
europepmc   +1 more source

An application of the Mittag-Leffler-type Borel distribution and Gegenbauer polynomials on a certain subclass of bi-univalent functions. [PDF]

Heliyon
Hussen A.
europepmc   +1 more source