ABSTRACT

"Presents a theory of difference and functional equations with continuous argument based on a generalization of the Riemann integral introduced by N.E. Norlund, allowing differentation with respect to the independent variable and permitting greater flexibility in constructing solutions and approximations. Discusses linear transformations that state conditions for convergence of Newton series and Norlund sums!"

chapter 1|20 pages

Operators and Functions

chapter 2|11 pages

Generalities on Difference Equations

chapter 3|44 pages

Nörlund Sum: Part One

chapter 4|35 pages

Nörlund Sum: Part Two

chapter 5|66 pages

The First-Order Difference Equation

chapter 20|3 pages

5 References