Axially symmetric generalization of the Cauchy-Riemann system and modified Clifford analysis
2010jgz | Bryukhov D.A.  // Fryazino, Russia, bryukhov@mail.ru

The main goal of this paper is to describe the most adequate generalization of the Cauchy-Riemann system fixing properties of classical functions in the octonionic case. An octonionic generalization of the Laplace transform is introduced. Octonionic generalizations of the inversion transformation, of the Euler gamma function and of the Riemann zeta-function are given.

English:		Russian: