Localization of Spherical Harmonic Expansions.
Localized polynomial bases on the sphere.
Low-rank tensor representation of Slater-type and Hydrogen-like orbitals
The paper focuses on a low-rank tensor structured representation of Slater-type and Hydrogen-like orbital basis functions that can be used in electronic structure calculations. Standard packages use the Gaussian-type basis functions which allow us to analytically evaluate the necessary integrals. Slater-type and Hydrogen-like orbital functions are physically more appropriate, but they are not analytically integrable. A numerical integration is too expensive when using the standard discretization...
Mémoire sur les fonctions de Legendre.
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations
Neue Darstellung der Kugekfunctionen und der verwandten Functionen durch Determinationen
New recurrence formulae for spherical Bessel's functions
O zonální funkci harmonické
On A Generalization Of Humbert Polynomials
On a generalization of Humbert polynomials.
On a generating function of ultraspherical polynomals.
S. K. Chatterjea has recently proved a class of generating relations involving ultraspherical polynomials from the view point of continuous transformations-groups. The object of the present paper is to point out that this class of generating relations implies the explicit representation, the addition and the multiplication formulas, in addition to the usual generating relation for the ultraspherical polynomials.
On generalized Meijer's and associated generalized Legendre's functions
On Legendre numbers.
On multiscale denoising of spherical functions: basic theory and numerical aspects.
On Polynomials Associated With Humbert's Polynomials
On the expansion of a function in terms of spherical harmonics in arbitrary dimensions.
Polynomial functions on the classical projective spaces
The polynomial functions on a projective space over a field = ℝ, ℂ or ℍ come from the corresponding sphere via the Hopf fibration. The main theorem states that every polynomial function ϕ(x) of degree d is a linear combination of “elementary” functions .
Pythagorean identity for polyharmonic polynomials.
Quadrature-free quasi-interpolation on the sphere.
Reflection Groups and Orthogonal Polynomials on the Sphere.