This paper presents two approaches to obtain the dynamical equations of mobile manipulators using dual quaternion algebra. The first one is based on a general recursive Newton-Euler formulation and uses twists wrenches, which are propagated through high-level algebraic operations works for any type joints arbitrary parameterizations. second approach Gauss's Principle Least Constraint (GPLC) inc...

It is proved, that the recently discussed Appell polynomials in Clifford algebras are the Fueter-Sce extension of the complex monomials z. Furthermore, it is shown, for which complex functions the Fueter-Sce extension and the extension method using Appell polynomials coincide.

In this paper, we first define the multiple Appell polynomials and find several equivalent conditions for this class of polynomials. Then we give a characterization theorem that if multiple Appell polynomials are also multiple orthogonal, then they are the multiple Hermite polynomials.

An essential element for driver safety is represented by the Impact Attenuator (especially race cars). The effect of can be seen in behavior a dummy, tied with seat belt, frontal collision rigid wall. loads that act on dummy are determined and checked to see if they fall within values recommended existing standards. car considered structure fixed belt equipped an Attenuator. Two types having co...

Since its inception more than 200 years ago, analytical mechanics has been continually drawn to the determination of the equations of motion for constrained mechanical systems. Following the fundamental work of Lagrange @1# who bequeathed to us the so-called Lagrange multipliers in the process of determining these equations, numerous scientists and mathematicians have attempted this central pro...

In this paper, a method for computing the generalized inertial tensor of manipulator robots is described as based on the Gibbs-Appell equations. The method presents the formulation of the coefficients of the mentioned tensor by means of the Hessian of the Gibbs function. An efficient recursive algorithm is proposed, with a complexity of O(n) order, which is used to produce a program in FORTRAN....

Recently the creation matrix, intimately related to the Pascal matrix and its generalizations, has been used to develop matrix representations of special polynomials, in particular Appell polynomials. In this paper we describe a matrix approach to polynomials in several hypercomplex variables based on special block matrices whose structures simulate the creation matrix and the Pascal matrix. We...

Abstract: In this paper, certain mixed special polynomial families associated with Appell sequences are introduced and their properties are established. Further, operational rules providing connections between these families and the known special polynomials are established, which are used to derive the identities and results for the members of these new families. Determinantal definitions of t...

The conifold singularities in the type-II string are considered as the points of phase transition. In some cases, these singularities can be understood in the framework of the conventional fields theores as the points of enhanced gauge symmetry. We consider a class of three moduli Type-II strings. It is shown the periods can be written in the form of hypergeometric series around the singular po...