The indicated sum of a real scalar and a real or imaginary
vector is called a scator. Either the scalar part or the vector part
may be null. Scators generalize the complex variable to n-space.
The algebra of scators is not generally associative under multiplication
but the commutative and distributive...
The paper concerns itself with the problem of heat transport
in a homogeneous, incompressible, isotropic, semi-infinite solid
whose boundary is nonstationary. The methods of solution in the one
dimensional case are discussed. Numerical examples and a method
for arriving at the solutions published by Bailey and Lakin in their
paper...
We model a fish population in a spatial region comprising a marine protected area and a fishing ground separated by an interface. The model assumes conservation of biomass density and takes the form of a reaction diffusion equation with a logistic reaction term. At the interface, in addition to continuity...
Properties of Mellin transforms are applied to the summation
of infinite series. A specific example of this application leads to the
establishment of certain properties of a generalization of Lerch's zeta
function.
Nine powerful methods of generating new tables of Mellin
transforms from existing tables of Mellin and other integral...