The efficient expansions by classical orthogonal polynomials is a well known and hard solving problem for applied mathematics. At first sight there is no problem as ...

Given a set of vertices for a convex or concave polygon, a smooth and bounded interpolant (valid in the interior of the domain) may be constructed in an explicit algebraic ...

A recursion procedure for the analytical generation of hyperspherical harmonics for tetraatomic systems, in terms of row-orthonormal hyperspherical coordinates, is presented. ...

This is the only book written by a geologist specifically to show geologists and geoscientists how to use Mathematica to formulate and solve problems. It spans a broad range ...

In this paper third-, fifth-, seventh-, and ninth-order geometric spherical aberrations for Hutter's electrostatic lens have been studied analytically and calculated ...

New dynamic functionality in Mathematica 6 creates a unique opportunity to showcase the wide-range of possible applications of Mathematica in nearly any area of interest. We ...

In this work we deal with pattern matching on expressions consisting of finite words from the set of non-capital English characters. Patterns will be described by words built ...

The two formulae expressing explicitly the difference derivatives and the moments of discrete orthogonal polynomials {Pn(x) : Meixner, Kravchuk and Charlier} of any degree ...

The subject of the presentation is included in the field of research of a new, intensively developing scientific discipline called computational economics. Delay differential ...

This work investigates the effect of thermophoresis and chemical reaction on heat and mass transfer in hydromagnetic micropolar fluid flow over an inclined permeable plate ...