The present work is concerned with the construction and properties of zeta functions which originate in hypercomplex analysis. The merit of a large class of zeta functions lies in distracting attention from …

The profound impact of hypercomplex numbers, attributed to the pioneering work of mathematicians like Hamilton, Graves, and Cayley, has ushered in a new era of mathematical exploration.

Our research uncovers that in the complex domain and higher-order hypercomplex spaces, the characteristic frequencies of time series naturally decrease. Leveraging this insight, we propose …

Oct 21, 2024 · This volume compiles short papers from the ICHAA 2024—International Conference on Hypercomplex Analysis and Its Applications—Celebrating Paula Cerejeiras’ 60th birthday, which was …

Therefore, I decided to write a book which would present complex and hypercomplex fractals in a concise and comprehensible manner omitting mathematical formalism as much as possible.

In this section, we present the basics of the complex and hypercomplex numbers, namely quaternions, and describe the main operations and properties of such numbers.

In Douglis' algebra these systems of equations can be represented by a single "hypercomplex" equation. Solutions of such equations are termed hyperanalytic functions.