3 citations · 4 across the 4 of their papers we have counts for
4 papers
Introduction to the Theory of -ODEs
Nathan BeDell, James S. Cook
We study the theory of ordinary differential equations over a commutative finite dimensional real associative unital algebra . We call such problems -ODEs…
Generalized Trigonometric Functions over Associative Algebras
Nathan BeDell
Extending the work of Freese, we further develop the theory of generalized trigonometric functions. In particular, we study to what extent the notion of polar form for the complex…
Logarithms Over a Real Associative Algebra
Nathan BeDell
Extending the work of Freese and Cook, which develop the basic theory of calculus and power series over real associative algebras, we examine what can be said about the logarithmic…
Doing Algebra over an Associative Algebra
Nathan BeDell
A finite-dimensional unital and associative algebra over , or what we shall call simply "an algebra" in this paper for short, generalities the construction by which we…