Deterministic and Random Generalized Complex Numbers Related to a Class of Positively Homogeneous Functionals
Deterministic and Random Generalized Complex Numbers Related to a Class of Positively Homogeneous Functionals
Based upon a new general vector-valued vector product, generalized complex numbers with respect to certain positively homogeneous functionals including norms and antinorms are introduced and a vector-valued Euler type formula for them is derived using a vector valued exponential function. Furthermore, generalized Cauchy–Riemann differential equations for generalized complex differentiable functions …