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math.FA2008
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.
math.FA2008★ 3 cited
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…
math.FA2008★ 2 cited
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…