LEGENDRE_SHIFTED_POLYNOMIAL is a C++ library which evaluates the shifted Legendre polynomial. The standard Legendre polynomial P(n,x) is defined over the interval [-1,+1]. The shifted Legendre ...

In the present paper, the author applies some of his earlier results which extend the well-known Hille-Hardy formula for the Laguerre polynomials to certain classes of generalized hypergeometric ...

This work presents a new formulation of the axial expansion transport method explicitly using Legendre polynomials for arbitrarily high-order expansions. This new formulation also features an ...

1 Department of Mathematics, College of Science, Qassim University, Buraydah, Kingdom of Saudi Arabia. 2 Department of Mathematics, College of Science and Arts in Nabhaniya, Qassim University, ...

We propose a method of constructing analytical, closed-form expressions for electrostatic/Newtonian potentials of non-uniform polyhedral bodies, in which the density distributions are polynomials of ...

Visual functions are reviewed that coincide with conscious as opposed to unconscious vision. Four stages of vision are identified, going from the fully invisible, to subjectively invisible, unattended ...