In this paper we derive the explicit, closed-form, recursion-free formulae for the arbitrary-order Fréchet derivatives of the exponential and logarithmic functions in unital Banach algebras (complex ...

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...

We obtain representation formulas for the Radon–Nikodym derivatives of measures absolutely continuous with respect to measures induced by processes with stationary independent increments. The proofs ...