Integration of Functions of a Hyperbolic Variable

Research output: Contribution to journalArticlepeer-review


This paper presents a systematic study of the theory of integration of hyperbolic-valued functions from a new point of view where the notion of partial order defined on the set of hyperbolic numbers and the notion of hyperbolic intervals have been taken into consideration. Starting with the definitions of partition of a hyperbolic interval and the definition of hyperbolic integral, the basic theorems of hyperbolic integration are proved, thus establishing a solid foundation of a theory that allows further developments.

Original languageEnglish
Article number35
JournalComplex Analysis and Operator Theory
Issue number3
StatePublished - Apr 2022
Externally publishedYes


  • Functions of a hyperbolic variable
  • Hyperbolic numbers
  • Partial order


Dive into the research topics of 'Integration of Functions of a Hyperbolic Variable'. Together they form a unique fingerprint.

Cite this