127 citations · 280 across the 24 of their papers we have counts for
4 papers · 1 filter
Calculus with a Quaternionic Variable
Charles Schwartz
Most of theoretical physics is based on the mathematics of functions of a real or a complex variable; yet we frequently are drawn to try extending our reach to include quaternions.…
Integration with Functions of a Quaternionic Variable
Charles Schwartz
Recent innovations in the differential calculus for functions of non-commuting variables, beginning with a quaternionic variable, are now extended to consider some integration.
Analytic Functions of a Quaternionic Variable
Charles Schwartz
Here we follow the basic analysis that is common for real and complex variables and find how it can be applied to a quaternionic variable. Non-commutativity of the quaternion algeb…
Analytic Functions of a General Matrix Variable
Charles Schwartz
Recent innovations on the differential calculus for functions of non-commuting variables, begun for a quaternionic variable, are now extended to the case of a general matrix over t…