In this paper we establish a close relationship between the spherical functions of the n-dimensional sphere Sn ≃ SO(n + 1)/SO(n) and the spherical functions of the n-dimensional real projective space P n(R) ≃ SO(n + ...

In this paper we establish a close relationship between the spherical functions of the n-dimensional sphere $S^n\simeq\SO(n+1)/\SO(n)$ and the spherical functions of the n-dimensional real projective space $P^n(\mathbb{R ...

The purpose of this paper is to discuss the maximality as a discrete group of the group GZ of all rational integral matrices of the Real Special Orthogonal Group G = SO (H) for all unimodular integrral symmetric  n   by ...

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 ν> 0. The LDU-decomposition of the weight is ...

The paper discusses PIII-V equation for special values of its parameters for which this equation reduces to PIII, I12, as well as, to some special cases of I38 and I49 equations from the Ince's list of 50 second order ...

O presente trabalho tem por objetivo geral obter as transformações de Lorentz da Relatividade Especial apresentando uma aplicação da Álgebra Linear, a partir das transformações pseudo-ortogonais definidas para os espaços ...

Exploramos la clase de las ternas (M, ∇, P) en las cuales M es una variedad, r una conexión afín en M y P una G-estructura en M. Dentro de esta clase están las variedades infinitesimalmente homogéneas, que se caracterizan ...

This study modeled variations in test-day fat yield of first lactation of Buffaloes cows by random regression model (RRM) fitted by Legendre orthogonal polynomials (LOP) compared to 3 alternatives models fitting B-splines. ...