A bicomplex Hurwitz zeta-function

Author:

JAVTOKAS Algirdas

AMS Classification:

11M35, 11R52, 11M41

Keywords:

bicomplex numbers, Hurwitz zeta-function, quaternions

Abstract:

In the paper, we use a commutative generalization of complex numbers, called bicomplex numbers, to introduce a holomorphic Hurwitz zeta-function of two complex variables satisfying the complexified Cauchy-Riemann equations.

Download paper:

Javtokas-06.pdf

Vol. 1 (9), 2006